Question

An electric motor rotating a workshop grinding wheel at a rate of 151 rev/min is switched off. Assume constant angular deceleration of magnitude 2.23 rad/s 2 . Through how many revolutions does the wheel turn before it finally comes to rest

Answer 1

Answer:

Explanation:

Initial angular velocity ω₀ = 151 x 2π / 60

= 15.8  rad /s

final velocity = 0

Angular deceleration α = 2.23 rad / s

ω² = ω₀² -  2 α θ

0 = 15.8² - 2 x 2.23 θ

= 55.99  rad

one revolution = 2π radian

55.99 radian = 55.99  / 2 π no of terns

= 9 approx .