**Practice 7G: | 1 | 2
| 3 | 4 | 5 | Go
up**

**Centripetal Acceleration and Gravity - by Mr. Paul Crosa, 2001**

__Centripetal Acceleration__

**1. A girl sits on a tire that is attached to an overhanging tree limb by
a rope. The girl's father pushes her so that her centripetal
acceleration is 3.0 m/s^2. If the length of the rope is 2.1 m, what is the
girl's
tangential speed?**

Here's what you know, centripetal A = 3.0 m/s^2 , and r = 2.1 m.

Use the formula a

1. v is your tangential velocity, so find that

2. find v by making the equation read (a

3. plug-in the values (3 m/s^2*2.1 m)^(1/2) =

yo-yo has a centripetal acceleration of 250 m/s^2. If the yo-yo's

string is .5 m long, what is the yo-yo's tangential speed?

Here's what you know, centripetal A = 250 m/s^2 , and r = .5

m. Use the formula a

1. v is your tangential velocity, so find that

2. find v by making the equation read (a

3. plug-in the values (250 m/s^2*.5 m)^(1/2) =

undergoes a 1.5 m/s^2 centripetal acceleration, what is the dog's linear

speed? What is the angular speed of the merry go round?

Here's what you know, centripetal A = 1.5 m/s^2 , and r = 1.5

m. Use the formula a

1. v is your tangential or linear velocity, so find that first

2. find v by making the equation read (a

3. plug-in the values (1.5 m/s^2*1.5 m)^(1/2) =

4. Next use the equation w = v

5. Plug-in the values and you get 1.5 m/s / 1.5 m =

rad/s. If the car's centripetal acceleration is 15.4 m/s^2, what is the

distance between the car and the center of the track?

Here's what you know, centripetal A = 15.4 m/s^2 , and w = .512

rad/s. Use the formula a

1. first set a

2. 15.4 m/s^2 / .512 rad/s = 30 m/s

3. use v to find r in the equation w = v

4. plug-in the values and you get 30 m/s / .512 rad/s =

the potter spins the wheel at an angular speed of 20.5 rad/s, what is

the magnitude of the centripetal acceleration of the piece of clay on the

wheel?

Here's what you know, r = .2 m , and w = 20.5 rad/s. Use the

formula a

1. use the equation w = v

2. plug-in the values and you get 20.5 rad/s * .2 m = 4.1 m/s

3. plug the velocity you just got into a

4. plug-in the values to get (4.1 m/s)^2 / .2 m =