8. Centripetal Forces & Gravitation

A flywheel in the form of a uniformly thick disk of mass $M$ and radius $R$ rotates about its central axis. What is its moment of inertia about this axis?

When analyzing uniform circular motion, does the direction (clockwise or counterclockwise) of a merry-go-round affect the magnitude of the $\mathrm{centripetal} \mathrm{acceleration}$ experienced by a rider?

An object moves in uniform circular motion with a constant angular speed of $\omega$ radians per second. How many complete revolutions does the object make during the first $4$ seconds?

The earth has a radius of 6380 km and turns around once on its axis in 24 h. If a_rad at the equator is greater than g, objects will fly off the earth's surface and into space. (We will see the reason for this in Chapter 5.) What would the period of the earth's rotation have to be for this to occur?

While a car travels around a circular track at a constant $v$ (speed), its $\overrightarrow{v}$ (velocity vector) changes because its direction is continuously changing. Which of the following quantities remains constant during this motion?

An object is moving in uniform circular motion. What will happen to the object's motion if the $F{c}_{\mathrm{entripetal}}$ force is suddenly removed?

In uniform circular motion, which force is commonly (but incorrectly) thought to push a vehicle away from the center of the road during a turn?

Which formula can be used to find the tangential speed of an object moving in uniform circular motion?

When your clothes spin around in the dryer, which force is primarily responsible for keeping them moving in a circular path?

Which of the following statements is true about an object in $uniform$ circular motion in a circular orbit?

A flywheel with a diameter of $1.20m$ is rotating at a constant angular speed. What is the magnitude of the centripetal acceleration at a point on the rim if the angular speed is $5.00\mathrm{rad}/s$?

Which of the following is constant for an object in uniform circular motion?

Peregrine falcons are known for their maneuvering ability. In a tight circular turn, a falcon can attain a centripetal acceleration 1.5 times the free-fall acceleration. What is the radius of the turn if the falcon is flying at 25 m/s?

Which statement correctly describes the force responsible for uniform circular motion?