# data[].attributes.body
1.) Centripetal: Motion force around a given point
Centripetal acceleration: Change in tangential velocity
2.) Vi is tangent in relation to the circle's curve and parallel to its radius at any given point
3.) Ac=Vt^2/r,  =2.5 , Ac=2
2=Vt^2/3.5
Vt^2=2(3.5)
Vt^2=7
Vt=2.646 m/s^2
4.) Ac = Centripetal acceleration along the radius
At = The tangential acceleration along the curve of the circle, perpendicular to Ac
5.) At is present because the object continues to move around the circle's diameter in one direction or the other, thus there must still be an acceleration.
6.) Centripetal Force: Force that keeps objects moving in a circular motion
7.) If mass increases, force also increases but the object would move at a slower speed. If Vt increase, centripetal force would also increase as they have a direct relation. Radius does not usual change, having no immediate effect to force. But if the initial radius was larger, force would be less. Vice versa if the initial radius was smaller, force would increase.

# data[].attributes.body
1.Centripetal is a force that moves in a circular motion and tends to fall inwards to the center of the object. Centripetal acceleration is the rate at which the angular velocity moves to the center of the object and the change in direction of tangential velocity.

2. Vi is tangent to the circular motion of the circle and perpendicular to the radius of the circle.

3.(Vt^2)/r = ac …… 2 = (Vt^2)/3.5 …………….. 7 = (Vt^2) …………… Vt = 2.645

4. At is tangential acceleration and Ac is centripetal acceleration.

5. At exists because the object still continues in a circular motion changing direction even though Vt is constant.

6. Force that acts on an object going in a circular path that pushes it inwards.

7. Equation: M*(v^2/r)
V is the tangential velocity
R is radius
M is mass

# data[].attributes.body
1) Centripetal means in a circular motion and centripetal acceleration is  acceleration in a circular way to make an object turn.
2) vi is tangent to the circle of motion which would make it perpendicular to the radius.
3)If ac= 2.0m/s^2 = (Vt^2)/r  and r = 3.5m  so then Vt = 2.65m/s
4) (ac) is the centripetal acceleration, while (at) is the tangential acceleration.  Centripetal acceleration is moving to the center along the radius, while tangential acceleration is along the tangent line of the circle and perpendicular to the radius.
5) There is a (at) while vt is constant since the object is still changing direction.
6)Centripetal force is the force of objects moving in a circle.
7)Mass: The weight of the object in motion.
Vt: The tangential velocity of the object or how fast it is moving.
Radius: The distance of the object from the center of rotation.

# data[].attributes.body
1) Centripetal means moving towards the center. Centripetal acceleration has a constant tangential speed but the direction of the tangential velocity vector changes as the object rotates.
2) Vi is tangent to the orbit of the circle or object.
3) Tangential Velocity: 2.0m/s^2=(Vt^2)/3.5m
then simplified to =  2.6 m/s
4) AC is the acceleration moving in a circular motion towards the center of the object (centripetal). AT is the tangential acceleration.
5) Vt is always changing direction to continue in a circular motion.
6)  Centripetal force is a force that acts on a body in a circular path and directed to the center of the body.
7) As mass increases so does the force yet since mass has increased speed will decrease. If the radius is increased however the force will be weaker.

# data[].attributes.body
JOY Montes de Oca

1. A centripetal force center seeking force that is directed toward the center of a curvature path. The centripetal acceleration is derived from the circular motion case since it  can be extended on the curved path. In other words its the rate of change of the tangential velocity.
2. Vi is tangent to circular orbital while it also is perpendicular to the radius.
3. Vt (tangential velocity) roughly =2.645 m/s
Given: ac=2.0 m/s^2
and r=3.5m.
4. Tangential acceleration or at is measured as the change of tangential velocity at a point on a certain radius in accordance to time; a measure of the acceleration tangential to the circle. Whereas ac or centripetal acceleration is rooted from  the acceleration in a circular motion. The net external force or the ac means a center seeking force.
5. Vt-although constant- will maintain in its role in changing direction.
6. A force directed to the center around where the particle moves.
7.
m=mass
v=velocity
r=radius
velocity divided by radius finds acceleration. By multiplying mass we then look at the centripetal force. If mass increases so does the force.

# data[].attributes.body
1.) Centripetal: Motion force around a given point
Centripetal acceleration: Change in tangential velocity
2.) Vi is tangent in relation to the circle's curve and parallel to its radius at any given point
3.) Ac=Vt^2/r,  =2.5 , Ac=2
2=Vt^2/3.5
Vt^2=2(3.5)
Vt^2=7
Vt=2.646 m/s^2
4.) Ac = Centripetal acceleration along the radius
At = The tangential acceleration along the curve of the circle, perpendicular to Ac
5.) At is present because the object continues to move around the circle's diameter in one direction or the other, thus there must still be an acceleration.
6.) Centripetal Force: Force that keeps objects moving in a circular motion
7.) If mass increases, force also increases but the object would move at a slower speed. If Vt increase, centripetal force would also increase as they have a direct relation. Radius does not usual change, having no immediate effect to force. But if the initial radius was smaller, force would be less but speed would be increased. Vice versa if the initial radius was larger, force would increase but speed decrease.

# data[].attributes.body
1. The definition of centripetal is moving towards the center. Centripetal acceleration is the the rate of change of tangential velocity. The formula of centripetal acceleration is v^2/r. V represents velocity and r represents the radius.
2.Vi as a vector is tangent to the circle and radius.
3. Since centripetal acceleration=v^2/r,
2 m/s^2=(Vt^2)/3.5m
7m^2/s^2=Vt^2
Therefore, tangential velocity or Vt equals 2.65m/s.
4.AC is the centripetal acceleration, or rate of change of tangential velocity whereas At is tangential acceleration  is the rate of change of angular velocity.
5.There is still At if Vt is constant because the direction is constantly changing while in circular motion.
6.Centripetal force is a force that acts on a body moving in a circular path toward the center.
7.The equation for centripetal force is
m*(v^2/r).
M stands for mass. V represents velocity. R represents radius. If the mass increases, the force also increases.

# data[].attributes.body
1. Centripetal force is the force used to push an object in a circular direction. Centripetal acceleration is the change of tangential velocity which is change of velocity over change of time.
2. The Initial velocity vector is tangent to the circular motion curve.
3. 2=vt^2/3.5 3.5x2=7
square root 7=2.65
4. Centripetal acceleration is always are the radius of a circle while tangential acceleration is tangent to the particle's motion
5. There is still At since the vt is constantly changing in direction and magnitude around the circle.
6. Centripetal force is the force that makes an object move around the radius of a circle.
7. In order to find centripetal force you must find the mass (m) which increases fc as it is increased. This is multiplied by the tangential velocity when increased the force will also increase. This is divided by radius which when decreases the centripetal force disproportionately.

# data[].attributes.body
1. Centripetal describes motion or force of an object as it goes in a circular direction.  Centripetal acceleration is the change in the tangential vector overtime.
2. vi is tangent to the orbit of the object.
3. ac=2m/s
radius=3.5m
ac=vt^2/r
2=vt^2/3.5
vt=2.645
4. Centrepital acceleration is around the radius and tangiential is along the orbit.
5. There is tangiential acceleration since the object is still moving even though the distance from the center stays the same.  6. centripetal force is the force excerted outwards from the center while keeping it in orbit.
7. Fc=mVt^2/r
If you raise the mass, the force will be stronger.
If you raise the speed, the force with be stronger.
If you raise the radus the force will be weaker.

# data[].attributes.body
1. A centripetal force center seeking force that is directed toward the center of a curvature path. The centripetal acceleration is derived from the circular motion case since it  can be extended on the curved path. In other words its the rate of change of the tangential velocity.
2.

# data[].attributes.body
1) Centripetal force is a force that acts on a body in a circular path and directed to the center of the body.  Centripetal acceleration has a constant tangential speed but the direction of the tangential velocity vector changes as the object rotates.
2) Vi is tangent to the orbit of the circle or object.
3)

# data[].attributes.body
1) Centripetal is anything relating to the center of an object while centripetal acceleration the rate of change of tangential velocity.2) Vi is tangent to the circular orbit of the object.
3) a=v^2/r
a=2 m/s^2
r=3.5 m
2=v^2/3.5
v= 2.65 m/s
4) Ac is the centripetal acceleration meaning that it's the acceleration of an object towards the center of the object. At is tangential acceleration or the overall acceleration of the object on the circular path.
5) An At exists while Vt is constant because At accounts for the change on a circular pattern while Vt maintains its constant magnitude and direction.

# data[].attributes.body
1) Centripetal itself means tending to move toward the center. Its moving in a circular motion about a point. Its acceleration is always pointed toward the center, perpendicular to its tangent (Vi) force at the time.
2) Vi is perpendicular to the radius and tangent to its circular orbit.
3) Given: ac = 2.0 m/s2
r = 3.5 m
Tangential Velocity = 2.6 m/s
4) at is the acceleration of the tangent force whereas ac is the acceleration of the force perpendicular to the object's velocity force in centripetal motion.
5) There is still a at because even though vt is constant, vt is always changing direction, so at is consequently changing.
6) The Centripetal force is directed toward the center its circular motion. Its the force acting on a body moving in a circular path.
7) F = m * (vt * vt)/r
smaller mass, smaller velocity, or greater radius: less force needs to be applied
greater mass,  greater velocity, or smaller radius: more force needs to be applied.

# data[].attributes.body
1)Centripetal means moving inwards toward the center. Centripetal acceleration is when an object moves and the velocity is constant but can change directions.
2)Vi is tangent to the circle.
3)2.0=(Vt2)/3.5
V=2.6m/s
4)The difference between A(c) and A(t) is that A(c) moves inwards while moving in a circular direction. A(t) is when it moves in the opposite direction.
5)There is A(t) because there is always a V(t) even if it does not change.
6)Centripetal force is a force that keeps the objects in a circular direction while staying relatively close to the center.
7)The variables are mass, radius, and velocity. If one of these variable increases, all increase by the same amount.

# data[].attributes.body
1.) Centripetal describes any motion or force about a single point in a circular fashion. Centripetal acceleration indicates the change in the tangential vector over time. Even though the magnitude of the velocity vector might remain the same, it changes direction as it goes around the circle.
2.)Vi is tangent to the circle of orbit.
3.) The tangential velocity is 2.645 m/s. Ac=(Vt^2)/r
4.) (Ac) is the acceleration of the object towards the center of the circle. (At) is the acceleration of the object tangential to the circle it creates. The two forces act independently of each other, but (At) keeps the object from falling into the center and (Ac) keeps the object from flying off from the circle. They are similar to Vx and Vy in 2D motion, as the function in a similar way.
5.)(At) exists because, while Vt has constant magnitude, it continues to move in a circular motion, so the direction is constantly changing. It models a sin wave.
6.) Centripetal force is the force pushing outward from the center to the outside as an object moves about a circle
7.) Centripetal can be found with mass, tangential velocity, and radius. As mass changes, force changes proportionally. As tangential velocity changes, force changes at 2X the rate. As radius changes, force changes inverse proportionally, that is, in the opposite way.

# data[].attributes.body
1) Centripetal  involves the forces pushing an object inwards as it goes in a circular motion. Centripetal acceleration represents the change of direction of the tangential velocity, and is what accounts for the object moving in a circular motion.
2) Vi is tangent to the curve of the circle of motion
3) We know that
Ac=(Vt^2)/r. Therefore,
2.0m/s^2=(Vt^2)/3.5m
7m^2/s^2=Vt^2
2.65m/s=Vt
4) Ac is the centripetal acceleration, which is the acceleration going inward. At is the tangential acceleration, which is tangent to the circle of motion (perpendicular to the centripetal acceleration).
5) There is an At to account for any change in Vt, both in magnitude and direction. Even if Vt is constant in magnitude, it must always change direction to continue in a circular motion
6) Centripetal force is the force that keeps an object moving in a circular motion. An example is gravity, which pulls the planets towards the center of their orbit.
7) Since the radius is always in the denominator of the equation, it is inversely related to the force. Mass also influences this force, and as mass increases, so does the centripetal force. Lastly, the centripetal force increases (more so than with the other variables) as the tangential velocity increases.