Expert answer:Angular & Linear Velocities

Answer & Explanation:I need help with Angular & Linear Velocities.See attached document.Angular & Linear Velocities
angular___linear_velocities.doc

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Angular & Linear Velocities
1. Find the angular displacement of 12.2 revolutions. Use
.
Round the answer to the nearest tenth.
A. 38.3
B. 24.4
C. 76.6
D. 95.5
2. Find the angular displacement of 1.9 revolutions. Use
. Round
the answer to the nearest tenth.
A. 5.7
B. 11.9
C. 13.7
D. 12.5
3. Find the angular displacement of 9.4 revolutions. Use
. Round
the answer to the nearest tenth.
A. 12.4
B. 18.8
C. 29.5
D.59.0
4. Determine the angular velocity, in radians per second, of 4.3
revolutions in 9 seconds. Use
nearest tenth.
A. 3.0
B. 4.2
C. 6.0
. Round the answer to the
D. 8.4
5. Determine the angular velocity, in radians per second, of 14.2
revolutions in 8 seconds. Use
nearest tenth.
A. 4.5
B. 5.6
C. 11.2
. Round the answer to the
D. 12.1
6. Determine the angular velocity, in radians per second, of 24.2
revolutions in 3 seconds. Use
nearest tenth.
. Round the answer to the
A. 50.7
B. 44.8
C. 25.4
D. 14.2
7. Determine how long it will take an object to rotate through 6.9
revolutions at an angular velocity of 3.1 radians per second. Use
. Round the answer to the nearest tenth.
A. 28.0 seconds
C. 14.0 seconds
B. 24.2 seconds
D. 12.1 seconds
8. Determine how long it will take an object to rotate through 10.0
revolutions at an angular velocity of 4.8 radians per second. Use
. Round the answer to the nearest tenth.
A. 36.4 seconds
C.18.2 seconds
B. 26.2 seconds
D. 13.1 seconds
9. Determine the linear velocity of an object with an angular velocity of
3.1 radians per second at a distance of 10 centimeters from the center.
Use
. Round the answer to the nearest tenth.
A. 31 cm per second
C. 62 cm per second
B. 47 cm per second
D. 98 cm per second
10. Determine the linear velocity of an object with an angular velocity of
5.9 radians per second at a distance of 12 centimeters from the
center. Use
. Round the answer to the nearest tenth.
A. 35.4 cm per second
C. 106.2 cm per second
B. 70.8 cm per second
D. 135.2 cm per second
11. Determine the linear velocity of an object with an angular velocity of
8.9 radians per second at a distance of 20 centimeters from the
center. Use
. Round the answer to the nearest tenth.
A. 79.3 cm per second
C. 135.8 cm per second
B. 89.0 cm per second
D. 178.0 cm per second
12. If a wheel with a radius of 50 inches spins at a rate of 500 revolutions
per minute, find the approximate linear velocity in miles per hour.
Use
.
A. 72 mph
B. 117 mph
C. 129 mph
D.149 mph
13. If a wheel with a radius of 80 inches spins at a rate of 100 revolutions
per minute, find the approximate linear velocity in miles per hour.
Use
.
A. 48 mph
B. 59 mph
C. 73 mph
D. 84 mph
14. If a wheel with a diameter of 30 inches spins at a rate of 40
revolutions per minute, find the approximate linear velocity in miles
per hour. Use
.
A. 3.6 mph
B. 4.6 mph
C. 5.6 mph
D. 6.6 mph
15. If a wheel with a diameter of 10 feet spins at a rate of 5 revolutions
per minute, find the approximate linear velocity in miles per hour.
Use
.
A. 3.6 mph
B. 1.8 mph
C. 5.6 mph
D. 2.8 mph
…
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