Circular Motion Review

Hey Everyone!


So... tomorrow is the Circular motion unit test for IB SL Physics at Interlake. If you go to Interlake HS and don't know this- YIKES.

Today, I'm not going to write about physics concepts- I'm just going to post a review question that I made. Try doing this question AFTER you finish Mr. T's review packet. If you were able to finish everything on the review packet and you're able to do this problem, you're ready for the test.

Here goes:

A powerful motor is directly attached to a 0.2 m-diameter wheel  as shown and connected to a battery which lets it run at its full rotational speed of 5500 revolutions per minute (rpm). See diagram below. Friction is negligible.


Given this information, calculate:
a) The angular frequency of the wheel (in revolutions/sec)
b) The angular frequency of the ball (in radians/sec)

c) A piece of gum is now stuck onto the edge of the wheel. Calculate the linear velocity of the piece of gum if the motor is still spinning at its full rotational speed.
d) Find the centripetal acceleration of the piece of gum.

This system is now connected to a circular ramp, and is used to shoot balls with a mass of 0.5 kg. Given this information, calculate:

e) The velocity of the ball when shot (assuming that the motor returns to max velocity by the time the ball is shot out)
f) The time the ball is in the air
g) The horizontal displacement of the ball
h) the maximum vertical height reached by the ball

If you want to check your answers or need help with another problem, send me a facebook message, post in the Thompson's IB Physics group, or send me an e-mail at satya.root.beer@gmail.com!