Physics

# Problems

PhysicsProblems

## 6.1Angle of Rotation and Angular Velocity

16 .
What is the angle of rotation (in degrees) between two hands of a clock, if the radius of the clock is $0.70\,\text{m}$ and the arc length separating the two hands is $1.0\,\text{m}$?
1. $40^\circ$
2. $80^\circ$
3. $81^\circ\!$
4. $163^\circ$
17 .
A clock has radius of $0.5\,\text{m}$. The outermost point on its minute hand travels along the edge. What is its tangential speed?
1. $9\times10^{-4}\,\text{m/s}$
2. $3.4\times10^{-3}\,\text{m/s}$
3. $8.5\times10^{-2}\,\text{m/s}$
4. $1.3\times10^1\,\text{m/s}$

## 6.2Uniform Circular Motion

18.

What is the centripetal force exerted on a 1,600 kg car that rounds a 100 m radius curve at 12 m/s?

1. 192 N
2. 1, 111 N
3. 2, 300 N
4. 13, 333 N
19.

Find the frictional force between the tires and the road that allows a 1,000 kg car traveling at 30 m/s to round a 20 m radius curve.

1. 22 N
2. 667 N
3. 1, 500 N
4. 45, 000 N

## 6.3Rotational Motion

20.

An object’s angular acceleration is 36 rad/s2. If it were initially spinning with a velocity of 6.0 m/s, what would its angular velocity be after 5.0 s?

21.

When a fan is switched on, it undergoes an angular acceleration of 150 rad/s2. How long will it take to achieve its maximum angular velocity of 50 rad/s?

1. −0.3 s
2. 0.3 s
3. 3.0 s
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