Use the formula ω=(θ)/(t) to find the value of the missing variable. ω=(2 π)/(3) radians per sec

step 1 So in the given question we have a formula that is given as omega is equal to theta divided by t

Use the formula ω=(θ)/(t) to find the value of the missing...

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Key Concepts

Relationship in Rotational Motion

The equation ? = ?/t establishes the relationship between angular velocity, angular displacement, and time. It shows that angular velocity is equal to the angular displacement divided by the time taken, allowing one variable to be determined if the other two are known.

Algebraic Manipulation

Algebraic manipulation is the process of rearranging equations to solve for a particular variable. In the context of rotational motion, the formula can be rearranged to isolate the desired variable, such as solving for angular displacement by multiplying both sides of the equation by time.

Angular Velocity

Angular velocity is a measure of how fast an object rotates, quantifying the rate at which the angle (in radians) changes over time. It is typically expressed in radians per second and plays a crucial role in the study of rotational motion.

Angular Displacement

Angular displacement refers to the angle through which an object rotates, usually measured in radians. It represents the net change in the angular position of the object over a specified period.

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