2nd Nine-Weeks Week # 06 Physics CW 02: Circular Motion Name: ____________________________________________ Date: __________ Period: ________ You must show the work that leads to your answer to receive credit. The answer must include the appropriate unit. _______________________1. Convert 3000 rpm (revolutions per minute) to radians/sec. [314 rad/sec] _______________________ 2. Convert 5 rotations into radians. [31.4 rad] _______________________ 3. Convert 250 radians/sec to rpm (revolutions per minute). [2389 rpm] _______________________ 4. What is the rotational inertia of a bicycle wheel that is 1.5 kg and 60 cm in diameter? [0.135 kg m2] _______________________ 5. What is the rotational inertia of a baseball with a mass of 0.3 kg and 8 cm in diameter? [0.000192 kg m2] 6. A car’s tires are 0.70 m in diameter. They spin at 200 rpm. How fast is the car moving? _______________________ (a) Convert rpm to rad/sec [20.9 rad/sec] _______________________ (b) How fast is the car moving? [7.33 m/sec] _______________________ 7. A bicycle is moving at 12 m/s. The tires are 0.80 m in diameter. How many rpm are the tires spinning? [287 rpm] 8. A 4 kg disc has a diameter of 0.50 m. A force of 4 N is applied to the rim for 12 seconds. The disc starts from rest. What rotational speed (in rpm) does it attain? _______________________(a) Calculate the inertia of the disc. [0.125 kg m2] _______________________ (b) Calculate acceleration. [8 rad/sec2] _______________________(c) Calculate velocity [96 rad/sec] _______________________ (d) Convert the velocity from rad/sec to rpm (rev/min) [ rpm]