Use the formula ω = θ/t to find the value of the missing variable.
ω = 0.91 radian per min, t = 8.1 min

Key Concepts

Angular Velocity

Angular velocity (ω) is a measure of how quickly an object rotates or moves around a central point, expressed in radians per unit of time. In this context, it indicates the rate of change of the angle (θ) with respect to time (t). Understanding angular velocity is crucial for solving problems involving rotational motion.

Time in Rotational Motion

In the formula ω = θ/t, time (t) represents the duration over which the angular displacement (θ) occurs. It is essential to accurately measure or define the time interval to determine the angular displacement correctly. This relationship helps in understanding how long an object takes to complete a certain angle of rotation.

Angular Displacement

Angular displacement (θ) refers to the angle in radians through which an object has rotated about a specific axis. It is a key variable in rotational motion, as it quantifies the change in position of the rotating object. In the given formula, knowing ω and t allows us to calculate θ, which is vital for understanding the overall motion.