Name Linear Velocity Word Problems-5

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NAME________________________________ Period__________

Linear Velocity Word Problems

– 4.2

1. Jordan can spin a basketball at 40 rpm. Find the linear velocity in mph. (radius of the basketball is 6 inches).

2.

Joey‘s tires on his car have a 46 inch diameter and are revolving at 392 rpm. Find his speed on B rock’s Gap in mph. (hint-he just got a ticket!)

3. Find the linear speed in feet per second of the tip of an 8 ft. airplane propeller that is turning at 2100 rpm.

4. The tires of an automobile have a diameter of 28 in. are revolving at 528 rpm. Find the speed of the car to the nearest mile per hour.

5. A bucket is drawn from the bottom of a well by means of a rope passed over an overhead pulley that is 10 in. in diameter. If the well is 60 ft. deep and 36 seconds are required to raise the bucket, find the angular velocity of the pulley in radians per second.

NAME________________________________ Period__________

6. A locomotive with drive wheels 5 ft. in diameter is moving at a speed of 50 mph.

Find the angular velocity of the drive wheels in radians per second.

7. A car is traveling at 54 mph. Find the angular speed of the wheel in radians per second if they are 30 in. in diameter.

8. A wheel that is 5 ft. in diameter revolves at 50 rpm. Find the linear velocity in miles per hour.

9. A truck with a tire 4 feet in diameter revolves 180 rpm. Find the linear velocity in mph.

10. A carousel with a radius of 15 ft. revolves 2 rpm. How many miles per hour is it going?

Key: 1) 1.4 mph 2) 53.6 mph 3) 880 ft/sec 4) 44 mph 5) 4 rad/sec

6) 29.3 rad/sec 7) 63.4 rad/sec 8) 8.9 mph 9) 25.7 mph 10) 2.1 mph

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