Practice 7F: | 1 | 2 |
3 | Go up

**Acceleration - by Matt Henderson, 2003**

**1. A dog on a merry-go-round undergoes a 1.5 m/s^2 linear
acceleration. If the merry-go-round's angular acceleration is 1.0 rad/s^2, how
far is the dog from the axis of rotation?**

In this problem we use the formula a_{t }= (r)(a),a_{t }=1.5 m/s^2 and a = 1.0 rad/s^2then you just plug it in 1.5 = r(1)and we find that r = 1.5 m

**2.** **A young boy swings a yo-yo horizontally above
his head at an angular acceleration of 0.35 rad/s^2. If tangential acceleration
of the yo-yo at the end of the string is 0.18 m/s^2, how long is the string?**

In this problem we use the formula a_{t }= (r)(a),a_{t }=0.18 m/s^2 and a = 0.35 rad/s^2then you just plug it in .18 = r(.35)and we find that r = .514 m

**3. What is a tire's angular acceleration if the
tangential acceleration at a radius of 0.15 m is 9.4 X 10^-2 m/s^2?**

In this problem we use the formula a_{t }= (r)(a),a_{t }=9.4 X 10^-2 m/s^2 and r = 0.15 mthen you just plug it in9.4 X 10^-2 m/s^2= (.15)(a)and we find that a = .62 rad/s^2