Concept Check 5.1-3

Front

What happens to an object if its center of gravity is not over its area of support?

Back

The object will fall over.

Front

How do you calculate angular acceleration?

Back

Angular acceleration (α) is calculated using the formula: α = (final angular speed - initial angular speed) / time.

Front

What is the relationship between angular displacement, angular speed, and time?

Back

Angular displacement (θ) = angular speed (ω) × time (t).

Front

What is moment of inertia?

Back

Moment of inertia is a measure of an object's resistance to changes in its rotation, depending on the mass distribution relative to the axis of rotation.

Front

How does mass distribution affect moment of inertia?

Back

The further the mass is from the axis of rotation, the greater the moment of inertia.

Front

What is the formula for calculating angular displacement when angular acceleration is constant?

Back

θ = ω_initial × t + 0.5 × α × t².

Front

If a fan blade rotates with a constant angular acceleration, how can you find its final angular speed?

Back

Use the formula: ω_final = ω_initial + α × t.

Front

What is the unit of angular speed?

Back

The unit of angular speed is radians per second (rad/s).

Front

How do you convert angular speed to time for a given angular displacement?

Back

Time (t) = angular displacement (θ) / angular speed (ω).

Front

What is the significance of a fan spinning at a constant angular speed?

Back

It means the fan covers equal angles in equal time intervals, indicating uniform motion.