Rankers Physics

Uniform Circular Motion: Practice Problem & Solution

A wheel having diameter of 3 m starts from rest and accelerates uniformly to an angular velocity of 210 rpm in 5 seconds. Angular acceleration of the wheel is :
1.4π rad/s²
3.3π rad/s²
2.2π rad/s²
1.1π rad/s²

Solution Explained:

To solve this problem, we apply the core principles of Uniform Circular Motion. Understanding the underlying formula is key to arriving at the correct answer below:

ω = ω + α . t 

⇒(210 × 2π)/60 = 0 + α × 5 

⇒ α = 1.4 π rad/sec ²

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