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?
a) By definition, the torque is:
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:
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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