What is the speed of the gum as seen by the center of the wheel?

AI Thread Summary
The train moves at 31.4 meters per second, and the wheel with a radius of 0.5 meters makes 31.4 revolutions per second. The piece of chewing gum, weighing 20 grams, is located near the rim of the wheel, which requires calculating the centripetal force for its circular motion. The necessary force for uniform circular motion can be determined using the formula F=mv^2/r. The speed of the gum, as seen from the center of the wheel, is equal to the tangential speed of the wheel, which is the same as the train's speed.
underoath0101
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4. A train is moving with a speed of 31.4 meters
second . One of the major wheels of the locomotive has a radius of 0.5 meters.
(a) How many revolutions does the wheel make in a second if the center of the wheel advances by 31.4 meters?
(b) A piece of chewing gum, weighing 20.0 grams, is stuck near the rim of the wheel. Determine the force on the gum.
(c) What is the speed of the gum as seen by the center of the wheel?
(d) What is the velocity of the gum (when it is at the top of the wheel) as seen by a person standing on the station?

I was able to solve a, but I keep getting confused on B..b/c i know once you have B you can do F=mv^2/r to get V..idk please help
 
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