Question

A wheel rotating at 500 r.p.m. slows down to 400 r.p.m. at a constant rate of 5 rad/s² . What is the angular displacement of the wheel? 

Answer 1

To find: Angular displacement (θ) 

= antilog [2 log(52.33)] − antilog[2 log(41.87)] 

= antilog[2 × 1.7187] − antilog [2 × 1.6219] 

= antilog[3.4374] − antilog[3.2438] 

= 2738 – 1753  

= 985

Substituting the value in eq (1), we get 

The angular displacement of the wheel is 98.5 rad.