12. Rotational Kinematics

Converting Between Linear & Rotational

12. Rotational Kinematics

# Converting Between Linear & Rotational - Video Tutorials & Practice Problems

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concept

## Converting Between Linear & Rotational

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2

example

## Length of string rotating point mass

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3

Problem

ProblemA disc of radius 10 m rotates around itself with a constant 180 RPM. Calculate the linear speed at a point 7 m from the center of the disc.

A

18.8 m/s

B

21.0 m/s

C

66.0 m/s

D

132 m/s

4

Problem

ProblemA rock rotates around a light, 4-m long string. The rock is initially at rest, but reaches 150 RPM in 3 seconds. Calculate its tangential acceleration after 3 s.

BONUS:Calculate its tangential speed after 3 s.

A

1.31 m/s

^{2}B

15.8 m/s

^{2}C

20.9 m/s

^{2}D

62.7 m/s

^{2}5

Problem

ProblemA 4 m long blade initially at rest begins to spin with 3 rad/s^{2} around its axis, which is located at the middle of the blade. It accelerates for 10 s. Find the tangential speed of a point at the tip of the blade 10 s after it starts rotating.

A

0 m/s

B

15 m/s

C

30 m/s

D

60 m/s

E

188 m/s

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PRACTICE PROBLEMS AND ACTIVITIES (18)

- Flywheels—rapidly rotating disks—are widely used in industry for storing energy. They are spun up slowly when ...
- A Ferris wheel of radius R speeds up with angular acceleration starting from rest. Find expressions for the (a...
- A typical laboratory centrifuge rotates at 4000 rpm. Test tubes have to be placed into a centrifuge very caref...
- Compact Disc. A compact disc (CD) stores music in a coded pattern of tiny pits 10^-7 m deep. The pits are arra...
- Compact Disc. A compact disc (CD) stores music in a coded pattern of tiny pits 10^-7 m deep. The pits are arra...
- An electric turntable 0.750 m in diameter is rotating about a fixed axis with an initial angular velocity of 0...
- A wheel of diameter 40.0 cm starts from rest and rotates with a constant angular acceleration of 3.00 rad/s^2....
- Compact Disc. A compact disc (CD) stores music in a coded pattern of tiny pits 10^-7 m deep. The pits are arra...
- (II) How fast (in rpm) must a centrifuge rotate if a particle 8.0 cm from the axis of rotation is to experienc...
- A cyclist accelerates from rest at a rate of 1.00 m/s². How fast will a point at the top of the rim of the tir...
- On a 12.0-cm-diameter audio compact disc (CD), digital bits of information are encoded sequentially along an o...
- (III) A hammer thrower accelerates the hammer of mass 7.30 kg (Fig. 10–64) from rest within four full turns (r...
- (III) A hammer thrower accelerates the hammer of mass 7.30 kg (Fig. 10–64) from rest within four full turns (r...
- (III) A hammer thrower accelerates the hammer of mass 7.30 kg (Fig. 10–64) from rest within four full turns (r...
- (II) In traveling to the Moon, astronauts aboard the Apollo spacecraft put the spacecraft into a slow rotation...
- (II) The platter of the hard drive of a computer rotates at 7200 rpm (rpm = revolutions per minute = rev/min)(...
- (II) The platter of the hard drive of a computer rotates at 7200 rpm (rpm = revolutions per minute = rev/min)(...