Question

A wheel is 0.25 m in radius. When it makes 15 revolutions per minute, its linear speed at the point on circumference is ____________.

Options

• `pi  "m/s"`

• `pi/2  "m/s"`

• `pi/4  "m/s"`

• `pi/8  "m/s"`

Answer 1

A wheel is 0.25 m in radius. When it makes 15 revolutions per minute, its linear speed at the point on circumference is `pi/8  "m/s"`.

Explanation:

r = 0.25 m

`therefore "n" = 15  "rpm" = 15/60  "rps"`

`therefore omega = 2 pi"n" = (2 xx pi xx 15)/60 = pi/2  "rad/s"`

`therefore "v" = "r"omega = 0.25 xx pi/2`

` = pi/8  "m/s"`