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A wheel starting with angular velocity of 10 radian/sec acquires angular velocity of 100 radian/sec in 15 seconds. If moment of inertia is 10kg-m2, then applied torque (in newton-metre) is
  • a)
    900
  • b)
    100
  • c)
    90
  • d)
    60
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A wheel starting with angular velocity of 10 radian/sec acquires angul...
I(ωf - ωi)/t = τ
Hence, τ = 60
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Most Upvoted Answer
A wheel starting with angular velocity of 10 radian/sec acquires angul...
Given:
Initial angular velocity, ω1 = 10 rad/s
Final angular velocity, ω2 = 100 rad/s
Time, t = 15 s
Moment of inertia, I = 10 kg-m²

We need to find the applied torque.

The equation relating torque, moment of inertia, and angular acceleration is:
τ = Iα

Where τ is the torque, I is the moment of inertia, and α is the angular acceleration.

Step 1: Calculating angular acceleration
The angular acceleration can be calculated using the formula:
α = (ω2 - ω1) / t

Substituting the given values, we get:
α = (100 - 10) / 15
α = 90 / 15
α = 6 rad/s²

Step 2: Calculating torque
Using the equation τ = Iα, we can substitute the values of moment of inertia and angular acceleration:
τ = 10 * 6
τ = 60 N-m

Therefore, the applied torque is 60 N-m.

Hence, the correct answer is option D) 60.
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Community Answer
A wheel starting with angular velocity of 10 radian/sec acquires angul...
D is correct since acceleration final _inital by time torque ia
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A wheel starting with angular velocity of 10 radian/sec acquires angular velocity of 100 radian/sec in 15 seconds. If moment of inertia is 10kg-m2, then applied torque (in newton-metre) isa)900b)100c)90d)60Correct answer is option 'D'. Can you explain this answer?
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A wheel starting with angular velocity of 10 radian/sec acquires angular velocity of 100 radian/sec in 15 seconds. If moment of inertia is 10kg-m2, then applied torque (in newton-metre) isa)900b)100c)90d)60Correct answer is option 'D'. Can you explain this answer? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A wheel starting with angular velocity of 10 radian/sec acquires angular velocity of 100 radian/sec in 15 seconds. If moment of inertia is 10kg-m2, then applied torque (in newton-metre) isa)900b)100c)90d)60Correct answer is option 'D'. Can you explain this answer? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wheel starting with angular velocity of 10 radian/sec acquires angular velocity of 100 radian/sec in 15 seconds. If moment of inertia is 10kg-m2, then applied torque (in newton-metre) isa)900b)100c)90d)60Correct answer is option 'D'. Can you explain this answer?.
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