Free Printable 8.1 - Rotational Motion

Worksheets

8.1 - Rotational Motion

Total questions: 26

Worksheet time: 52mins

Name

Class

Date

360 degrees in radians is

$\pi$

$2\pi$

$\frac{1}{2\pi}$

3.14

The time required for one complete revolution is:

torque

frequency

period

rotational kinetic energy

What is angular velocity

the rate of angular displacement of an object

the resistance of an object to change its current state

the amount of angular motion of an object

Which variable has units of $m$ ?

$v$

$r$

$s$

$\theta$

Which variable has units of $\frac{rad}{s}$ ?

$v$

$\alpha$

$\omega$

$\theta$

Which variable has units of $\frac{rad}{s^2}$ ?

$\omega$

$a$ (A)

$\theta$

$\alpha$ (alpha)

Which of these can be measured in rpm?

Linear Distance

Angular Distance

Linear Speed

Angular Speed

In the equation

s=\theta r,\ \ \theta\ represents...

Angular velocity measured in radians

The central angle measured in degrees

The central angle measured in revolutions

The central angle measured in radians

Calculate the length of an arc with radius 15 cm and central angle of 30°.

450 cm

5π/2 cm or ≈ 7.9 cm

225 cm

5π/4 cm or ≈ 3.9 cm

10.

Determine the central angle if the arc length is 10 cm and the radius is 5 cm.

2°

not possible ... "s" is too small

≈ 114.6°

360°

11.

A fan spins with a constant angular speed of 500 radians/second. How long will it take to cover an angle of 2π radians (one revolution)?

0.013 s

0.002 s

76.9 s

6.28 s

12.

An object completes 1.5 circular orbits in half a minute. It orbits with a radius of 2 m. What is the object's linear speed?

0.15 m/s

0.60 m/s

1.6 m/s

6 m/s

13.

Who has the larger linear (tangential) velocity?

Klyde

Bonnie

Same

both zero

14.

Klyde's angular velocity is

the same as Bonnie's

twice Bonnie's

half of Bonnie's

1/4 Bonnie's

15.

Who has the larger centripetal acceleration?

Klyde

Bonnie

Same

Both zero

16.

Two wheels are rotating at 20 rad/s. If the 1st tire has a diameter of 50 cm, and the 2nd has a radius of 64 cm, determine how much farther the big wheel will travel in 1 second.

0 m (they travel the same distance

1.4 m

2.8 m

140 m

17.

A record spins at 33 rpm (revolutions per minute), which is an angular velocity of about 3.46 radians per second. What is the approximate linear velocity of a fly that sits on the record, 12 cm from the center?

3.4 cm/s

21.5 cm/s

41.5 cm/s

131.9 cm/s

18.

How many revolutions will a car wheel of diameter 30 in. make as the car travels a distance of one mile? (Hint: determine the circumference first ... rev/circumference ... then convert to rev/mile) Round answer to the nearest tenth.

6635.0 rev/mile

672.3 rev/mile

884.7 rev/mile

19.

The wheels of a car have radius 11 in. and are rotating at 600 rpm. Determine the speed of the car in miles/hour to the nearest tenth. (Hint: determine ω then use v=ω⋅r)

6.3 miles/hour

12.5 miles/hour

39.3 miles/hour

78.5 miles/hour

20.

Determine the angular velocity in rad/min of a gyroscope rotating at 6 rps (revolutions per second). Leave answer in terms of π.

360π rad/min

12π rad/min

360 rad/min

720π rad/min

21.

A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

3.2 rad/s

26 rad/s

52 rad/s

81 rad/s

22.

Determine the angular velocity in rad/min of a gyroscope rotating at 6 rps (revolutions per second). Leave answer in terms of π.

360π rad/min

12π rad/min

360 rad/min

720π rad/min

23.

Jeep wrangler factory tires have a radius of .38 m and off-roading tires have a .43 m radius. If both vehicles have an angular velocity of 150 rad/s what are the linear speed for each tire?

57 m/s

65 m/s

698 m/s

349 m/s

24.

Calculate the angular velocity of a car tire with a radius of .31m traveling a speed of 22 m/s

71 rad/s

72 rad/s

73 rad/s

75 rad/s

25.

A 0.12-m-radius grinding wheel takes 5.5 s to speed up from 2.0 rad/s to 11.0 rad/s. What is the wheel's average angular acceleration?

9.6 rad/s/s

4.8 rad/s/s

3.1 rad/s/s

1.6 rad/s/s

26.

Two vehicles are moving at 22 m/s. The radius of the 1st vehicle's tire is .25 m and the 2nd vehicle's tires are .38 meters. Over 10 seconds, each vehicle accelerates to 24 m/s. Which vehicle has a greater angular acceleration?

the 1st car

the 2nd car

100 %

8.1 - Rotational Motion

Total questions: 26

Worksheet time: 52mins

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