A fly wheel rotates at a constant speed of 3000rpm. The angle described by the shaft in radian in one second is:
Correct answer: C. 100π
- A. 3000π
- B. 50π
- C. 100π
- D. 2π
Explanation
To solve this question, we first convert the rotational speed of 3000rpm to angular velocity in radians per second, which is 100π radians per second. Then, using the formula θ = ω × time, we find that the angle described by the shaft in one second is 100π radians. Therefore, option C is the correct answer.f = 300 r.p.m. = 300/60 r.p.s;θ = ω.t = 2π × 3000/60 × 1 = 100π radOptions A, B, and D are incorrect because they do not accurately represent the angle described by the shaft in one second, which is 100π radians.
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About Angular Velocity
Angular velocity describes how quickly angular displacement changes with time, with ω = Δθ/Δt and units of radians per second. Questions relate angular and linear motion through v = rω, use the direction given by the right hand rule, and distinguish angular velocity from angular acceleration and ordinary frequency.
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