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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
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- t = 1s
- t = 0.5 s
- t = 0.25 s
- t = 2s
Correct Option: A
When angular acceleration (α) is zero then torque on the wheel becomes zero.
θ(t) = 2t³ – 6t²
⇒ | = 6t² - 12t ⇒ α = | = 12t - 12 = 0 | ||
dt | dt |
∴ t = 1 sec.