Question

A wheel that is drawn by a belt is making 1revolution per second (r/s). If the wheel is 18cm in diameter, what is the linear velocity of the belt in cm/s? 

Answer 1

diameter = 18 cm

radius = 9 cm

angular velocity ($\omega$ ) = 1 rev/sec = (2$\pi$) rad/sec

we know that, linear velocity (v) = angular velocity ($\omega$) * radius (r)

v = $\omega$ * r

v = 2$\pi$ (rad/sec) * 9 (cm)

v = 18$\pi$ cm/sec

v = 56.52 cm/sec