The angular speed of a fly wheel making 120 revolutions/minute is:
Correct answer: B. 4π rad/s
- A. 2π rad/s
- B. 4π rad/s
- C. 4π 2rad/s
- D. π rad/s
Explanation
The following is the solution:To find the angular speed of the flywheel, we need to convert the given value from revolutions per minute (rpm) to radians per second.Angular speed is the rate at which an object rotates, and it is given by the formula:Angular speed (ω) = (Angular velocity) / (Time)In this case, the angular velocity is given as 120 revolutions per minute. To convert this to radians per second, we need to consider that 1 revolution is equal to 2π radians. We also need to convert the time from minutes to seconds.Angular velocity = 120 rpm * (2π radians / 1 revolution) * (1 minute / 60 seconds)= 4π radians/secondTherefore, the angular speed of the flywheel is 4π radians/second.
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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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