Question

if the length of spoke of wheel is 30 cm from axis of rotation, then find the acceleration of a point on tip of the spoke of the wheel is rotating at 120 rpm​

Answer 1

The acceleration of a point on the top of the spoke wheel is 2.96 m/s²

Explanation:

Given:

Length of spoke of wheel is 30 cm from axis of rotation

The wheel is rotating at 120 rpm

To find out:

Acceleration of a point on tip of the spoke wheel

Solution:

According to the question

R = 30 cm = 0.3 m

N = 120 rpm = 120/60 = 2 rps

Therefore, angular velocity of the wheel

$\omega=\frac{2\pi}{N}=\frac{2\pi}{2}=\pi=3.14$ rad/s

Thus, the acceleration of a point on the tip of the wheel

$a=\omega^2R$

$\implies a=3.14^2\times 0.3$

$\implies a=2.96$ m/s²

Hope this answer is helpful.

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