Question 1) A car tire is 63.0 c m in diameter. The car is traveling at a speed

ID: 2251635 • Letter: Q

Question

Question 1)
A car tire is 63.0cm in diameter. The car is traveling at a speed of 24.0m/s .
a)What is the tire's rotation frequency, in rpm?

b) What is the speed of a point at the top edge of the tire?

c) What is the speed of a point at the bottom edge of the tire?

Question 2)

A hollow spherical shell with mass 1.60kg rolls without slipping down a slope that makes an angle of 40.0? with the horizontal.

a) Find the magnitude of the acceleration

b) Find the magnitude of the frictional force acting on the spherical shell.

question 1)

V=R*omega

24=0.63*omega

omega =38.095 rad / sec

=38.095/(2Pi*60) = 363.7827 rpm ----------- (a)

because the tire rolls about the bottom most point

therefore, the speed at the top is twice the speed of the car: 48.0 m/s --------(b)

the tire hits the ground there, so the speed is 0 m/s: the rubber doesn't more relative to the ground. --------(c)

question 2)

The moment of inertia of the shell is

I = (2/3)m r

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