Problem: A car with 70-cm -diameter tires accelerates uniformly from rest to 20 m/s in 10s.How many times does each tire rotate?

FREE Expert Solution

Uniformly accelerated motion (UAM) equations:

 vf = v0 +atx= (vf+v02)tx= v0t+12at2 vf2= v02 +2ax

  • Δx = ?
  • v0 = 0 m/s
  • vf = 20 m/s
  • t = 10 s
  • a = ?

Δx =  (vf + v0)t/2 = (20 + 0)10/2 = 100 m

D = 70 cm(1m/100cm) = 0.7 m

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Problem Details

A car with 70-cm -diameter tires accelerates uniformly from rest to 20 m/s in 10s.

How many times does each tire rotate?