The instantaneous angular position of a point on a rotating wheel is given by

The instantaneous angular position of a point on a rotating wheel is given by the equation θ(t) = 2t³ – 6t². The torque on the wheel becomes zero at

Options

(a) t = 1 s
(b) t = 0.5 s
(c) t = 0.25 s
(d) t = 2 s

Correct Answer:

t = 1 s

Explanation:

When angular acceleration is zero then torque on the wheel becomes zero.
θ(t) = 2t – 6t
dθ / dt = 6t – 12t
= dθ / dt = 12t – 12 = 0
t = 1 s

admin:

Related Questions

  1. Which one of the following statements is not correct in case of a semiconductor?
  2. An aeroplane flies 400m due to North and then 300m due to south and then flies
  3. A particle of mass 100g tied to a string is rotated along a circle of radius 0.5 m
  4. A particle of mass ‘m’ is kept at rest at a height 3R from the surface of earth
  5. If the pressure of gas is increased from 1.01×10⁵ Pa to 1.165×10⁵ Pa and volume