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An 800 kg truck with 0.5 m radius tires is traveling at 27.0 m/s. (a) What is th

ID: 1553021 • Letter: A

Question

An 800 kg truck with 0.5 m radius tires is traveling at 27.0 m/s. (a) What is the angular velocity of the spinning tires as the car travels along the road? (b) Suppose you then put very large diameter tires on the truck without recalibrating the speedometer. How would the speed shown by the speedometer compare to your actual speed? Explain your answer. (c) Calculate the coefficient of static friction between the tires and the road needed to take a 450 m radius unbanked curve. (d) Calculate the ideal speed to take the curve if, instead, it is banked at 55 degree. (e) Could you (safely) take the banked curve faster? Explain your answer.

Explanation / Answer

1

(a)w=v/R=54 rad/s

(b)since w will remain same so velocity is given by

v=w*r so of radius r is small then velocity will be less so speedometer will show less velocity

(c)u=(v*v)/rg=0.16

(d)tan(55) =(v*v)/rg=79.36 m/s if friction is not there

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