Uniform Circular Motion 24

Front

What is the formula for centripetal acceleration?

Back

Centripetal acceleration (a_c) is given by the formula: a_c = v^2 / r, where v is the velocity and r is the radius of the circular path.

Front

How do you calculate the velocity of an object in uniform circular motion given its radius and centripetal acceleration?

Back

The velocity (v) can be calculated using the formula: v = sqrt(a_c * r), where a_c is the centripetal acceleration and r is the radius.

Front

What is the direction of centripetal acceleration in uniform circular motion?

Back

Centripetal acceleration always points towards the center of the circle.

Front

If a toy car is moving in a circular path with a constant speed of 3 m/s and a radius of 1 m, what is its centripetal acceleration?

Back

The centripetal acceleration of the car is 9 m/s², calculated using the formula: a_c = v² / r.

Front

What is the direction of the velocity of an object moving clockwise in a circular path at point B?

Back

The direction of the velocity at point B, if the ball is revolving clockwise, is down.

Front

Define uniform circular motion.

Back

Uniform circular motion is the motion of an object traveling at a constant speed along a circular path.

Front

What is the relationship between speed, radius, and centripetal acceleration in uniform circular motion?

Back

Centripetal acceleration is directly proportional to the square of the speed and inversely proportional to the radius: a_c = v² / r.

Front

What happens to the centripetal acceleration if the speed of the object is doubled?

Back

If the speed is doubled, the centripetal acceleration increases by a factor of four, since a_c = v² / r.

Front

What is the unit of centripetal acceleration?

Back

The unit of centripetal acceleration is meters per second squared (m/s²).

Front

How does the radius of the circular path affect the centripetal acceleration?

Back

A larger radius results in a smaller centripetal acceleration for a given speed, as a_c = v² / r.