For a wheel rolling along the ground, which equation gives the correct expressio

Question

For a wheel rolling along the ground, which equation gives the correct expression for the radius of the wheel in terms of its translational speed (v) and its angular speed ()?

A. r = v/

B.  r = v

C.  r = v/2

D.  r = /v

High energy protons ejected by the Sun constantly enter Earth’s magnetic field. The magnetic field forces some to move in a circle. Suppose a proton trapped in a circular path covers that path in just 0.008 s. What is its angular speed in revolutions per minute (rpm)?

A.  7500 rpm

B.  750 rpm

C.  125 rpm

D.  80 rpm

Explanation / Answer

here,

for the wheel rotating along the ground

the translational speed , v = r * angular speed

so , the radius , r = v/w

the correct option is A) r = v/w

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