The angular speed of a motor increases from 600 rpm to 1200 rpm in 10 s. What is the angular ac

step 1 So angular acceleration equal change in angular velocity upon time means omega 2 minus omega 1 u

The angular speed of a motor increases from 600 rpm to 1200...

The angular speed of a motor increases from $600 \mathrm{rpm}$ to $1200 \mathrm{rpm}$ in $10 \mathrm{~s}$. What is the angular acceleration of the motor (a) $600 \mathrm{rad} \mathrm{sec}^{-2}$ (b) $60 \pi \mathrm{rad} \mathrm{sec}^{-2}$ (c) $60 \mathrm{rad} \mathrm{sec}^{-2}$ (d) $2 \pi \mathrm{rad} \mathrm{sec}^{-2}$

The angular speed of a motor increases from $600 \mathrm{rpm}$ to $1200 \mathrm{rpm}$ in $10 \mathrm{~s}$. What is the angular acceleration of the motor
(a) $600 \mathrm{rad} \mathrm{sec}^{-2}$
(b) $60 \pi \mathrm{rad} \mathrm{sec}^{-2}$
(c) $60 \mathrm{rad} \mathrm{sec}^{-2}$
(d) $2 \pi \mathrm{rad} \mathrm{sec}^{-2}$

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Key Concepts

Angular Velocity

Angular velocity measures the rate at which an object rotates or moves through an angle. It is typically expressed in radians per second and represents how quickly the angle is changing with time.

Angular Acceleration

Angular acceleration quantifies the rate of change of angular velocity over time. It is calculated by dividing the difference between final and initial angular velocities by the time over which this change occurs, and is expressed in radians per second squared.

Unit Conversion in Rotational Dynamics

In problems involving rotational motion, converting units such as revolutions per minute to radians per second is essential. This conversion is done using the relationship that one revolution is equivalent to 2? radians and one minute equals 60 seconds.

Rotational Kinematics

Rotational kinematics involves the study of rotational motion using equations that are analogous to linear motion. The key equations link angular displacement, angular velocity, angular acceleration, and time, providing a framework to analyze rotational systems.

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