An automobile travels to the right, with the center Aof the wheel moving at a constant speed of 48 mi/h. If the diameter of a wheel is 22in.,determine the velocities of points B, C, D, and E on the rim of the wheelassuming there is no slipping. [Hint: at any given instant the velocity of point C, which is in contact with the ground must be zero]. Please introduce axes and give your answers in vector form.

Explanation:

From the question we are told that

Constant speed =48mile/hr

Diameter of a wheel = 22inch therefore

Generally Convert from mile/hr to inches/sec

The length in inches is equal to the miles multiplied by 63,360.

an hour is 3600seconds

48miles/h = 849.8 inch/sec

therefore

=>

a)Considering the velocity of Vb  in inches per seconds

Generally the formula is stated as

b)Considering the velocity of Vc  in inches per seconds

Since the tire doesn't slip as earlier stated in the question

Therefore

c)Considering the velocity of Ve  in inches per seconds

Generally the formula is stated as

Expressing result with vector

d)Considering the velocity of Vd  in inches per seconds

Generally the formula is stated as

Mathematically