A wheel rotates about a fixed axis with a constant angular acceleration of 3.3 rad/s2. The diameter of the wheel is 21 cm. What is the linear speed (in m/s) of a point on the rim of this wheel at an instant when that point has a total linear acceleration with a magnitude of 1.7 m/s2

The the linear speed (in m/s) of a point on the rim of this wheel at an instant=0.418 m/s

Explanation:

We are given that

Angular acceleration,

Diameter of the wheel, d=21 cm

Radius of wheel, cm

Radius of wheel,

1m=100 cm

Magnitude of total linear acceleration, a=

We have to find the linear speed  of a  at an instant when that point has a total linear acceleration with a magnitude of 1.7 m/s2.

Tangential acceleration,

Radial acceleration,

We know that

Using the formula

Squaring on both sides

we get

Hence, the the linear speed (in m/s) of a point on the rim of this wheel at an instant=0.418 m/s

they should be similar or the same