Answer to Question #168401 in Physics for Andu

Question #168401

5. When passing a turn, the driver exerts on the steering wheel a pair of forces with torque M = + 120 Nm. a) Calculate the force exerted by the driver on the steering wheel, when it is known that the radius of the steering wheel is 20cm. b) Make a simple figure and show the direction of the moment, whether it is clockwise or counterclockwise. c) What kind of turn did the driver take, right or left?


1
Expert's answer
2021-03-09T15:30:38-0500

a) By definition, the torque is:


"M = Fl"

where "F" is the force exerted by the driver on the steering wheel, and "l = 20cm = 0.2m" is the radius of the wheel. Substituting "M = 60N\\cdot m" (since we want to calculate only one from the pair of identical forces), obtain:


"F = \\dfrac{M}{l}\\\\\nF = \\dfrac{60N\\cdot m}{0.2m} = 300N"

b)




If we direct the positive x-axis toward the driver, then looking from his or her perspective, the rotation will be counterclockwise.

c) It is the left turn.


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