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A wheel initially at rest undergoes uniform angular acceleration for 10 seconds. If the angular acceleration is 2 rad/s², what is the angular displacement of the wheel at the end of the 10 seconds?
- a)10 rad
- b)20 rad
- c)40 rad
- d)100 rad
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
A wheel initially at rest undergoes uniform angular acceleration for 1...
The angular acceleration of 2 rad/s² means that the angular velocity of the wheel is increasing by 2 radians per second every second.
To find the final angular velocity of the wheel after 10 seconds, we can use the formula:
angular velocity = initial angular velocity + (angular acceleration * time)
Since the wheel is initially at rest, the initial angular velocity is 0 rad/s.
angular velocity = 0 + (2 rad/s² * 10 s)
= 20 rad/s
Therefore, the final angular velocity of the wheel after 10 seconds is 20 rad/s.
To find the final angular velocity of the wheel after 10 seconds, we can use the formula:
angular velocity = initial angular velocity + (angular acceleration * time)
Since the wheel is initially at rest, the initial angular velocity is 0 rad/s.
angular velocity = 0 + (2 rad/s² * 10 s)
= 20 rad/s
Therefore, the final angular velocity of the wheel after 10 seconds is 20 rad/s.
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Community Answer
A wheel initially at rest undergoes uniform angular acceleration for 1...
The angular displacement (θ) of an object undergoing uniform angular acceleration can be calculated using the formula:
θ = ω₀t + (1/2)αt²
θ = ω₀t + (1/2)αt²
where:
θ = angular displacement,
ω₀ = initial angular velocity,
t = time, and
α = angular acceleration.
θ = angular displacement,
ω₀ = initial angular velocity,
t = time, and
α = angular acceleration.
Since the wheel is initially at rest (ω₀ = 0), the formula simplifies to:
θ = (1/2)αt²
θ = (1/2)αt²
Substituting the given values:
θ = (1/2) * 2 rad/s² * (10 s)²
θ = 20 rad
θ = (1/2) * 2 rad/s² * (10 s)²
θ = 20 rad
Therefore, the angular displacement of the wheel at the end of 10 seconds is 20 radians.
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A wheel initially at rest undergoes uniform angular acceleration for 10 seconds. If the angular acceleration is 2 rad/s², what is the angular displacement of the wheel at the end of the 10 seconds?a)10 radb)20 radc)40 radd)100 radCorrect answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about A wheel initially at rest undergoes uniform angular acceleration for 10 seconds. If the angular acceleration is 2 rad/s², what is the angular displacement of the wheel at the end of the 10 seconds?a)10 radb)20 radc)40 radd)100 radCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A wheel initially at rest undergoes uniform angular acceleration for 10 seconds. If the angular acceleration is 2 rad/s², what is the angular displacement of the wheel at the end of the 10 seconds?a)10 radb)20 radc)40 radd)100 radCorrect answer is option 'B'. Can you explain this answer?.
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