Circular motion


PHYS-TIKTOK Circular motion video

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An object undergoing circular motion, like one of the toy cars shown above , must be accelerating because it is changing the direction of its velocity. We proved that this centrally directed acceleration, called centripetal acceleration, is given by the formula

π‘Žc = 𝑣^2 /π‘Ÿ

where v is the velocity of the object, directed along a tangent line to the curve at any instant. If we know the angular velocity

TikTok Problem 5:

In 2009 stuntman Steve Truglia attempted to drive a Toyota Aygo through a 12 π‘š diameter loop-the-loop for the show Fifth Gear, by modeling the car as a particle in contact with the inside surface of the circular track.

Calculate the minimum speed he should have at the top of the loop and not fall. Discuss all your steps.