**Question:** b) Calculate the centripetal acceleration of a car moving with a tangential velocity of 10.0 m/s around a circle of radius 8.0 meters.**Explanation:**To calculate the centripetal acceleration (\(a_c\)), we use the formula:\[ a_c = \frac{v^2}{r} \]where- \( v \) is the tangential velocity- \( r \) is the radius of the circleGiven:- Tangential velocity, \( v = 10.0 \, \text{m/s} \)- Radius, \( r = 8.0 \, \text{meters} \)Now, substituting the given values into the formula:\[ a_c = \frac{(10.0 \, \text{m/s})^2}{8.0 \, \text{meters}} \]\[ a_c = \frac{100.0 \, \text{m}^2/\text{s}^2}{8.0 \, \text{meters}} \]\[ a_c = 12.5 \, \text{m/s}^2 \]Therefore, the centripetal acceleration of the car is \( 12.5 \, \text{m/s}^2 \).

given , tangential velocity , v = 10 m/s radius of the circle , r = 8 m Let , the centripetal…

Answered: b) Calculate the centripetal…

b) Calculate the centripetal acceleration of a car moving with a tangential velocity of 10.0 mls around a circle of radius 8.0 meters.

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter6: Uniform Circular Motion And Gravitation

Section: Chapter Questions

Problem 37PE: The Moon and Earth rotate about their common center of mass, which is located about 4700 km from the...

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