A wheel with a 30-cm radius is rotating at a rate of 3 radians/sec. What is the linear speed of a point on its rim, in meters per minute?

A wheel with radius 30 cm is rotating at a rate of 10 rev/s. At t = 10 s the angular speed begins to increase at a rate of 1.4 rad/s/s. At t = 15 s, what is the angular speed in radians per second?

When the string is pulled with a force $p$ tangent to the rim, it gives the cylinder an angular acceleration $\alpha$, if the cylinder had fourfold the radius but everything else was the same the angular acceleration would be?

Two markers A and B on the same side of a canyon rim are 56 ft apart. A third marker C, located across the rim, is positioned so that ∠BAC = 72° and ∠ABC = 53°.. Find the distance between C and A.

A potter’s wheel with radius 8 in. spins at 150 rpm. Find the angular and linear speeds of a point on the rim of the wheel.

A 50.0-kg child stands at the rim of a merry-go-round of radius 2.00 m, rotating with an angular speed of 3.00 rad/s. What is the child’s centripetal acceleration?

The water side of the wall of a $100$-$\mathrm{m}$-long dam is a quarter circle with a radius of $10 \mathrm{~m}$. Find the hydrostatic force on the dam and its line of action when the dam is filled to the rim.

The Campagnolo Hyperon Ultra Two carbon wheel, which has a diameter of 700 millimeters, has 22 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Given figure)?

The Reynolds RZR 46 carbon wheel, which has a diameter of 700 millimeters, has 16 spokes evenly distributed around the rim of the wheel. What is the length of the rim subtended by adjacent pairs of spokes (Given figure)?

A point on the rim of a flywheel with radius $1.50 \mathrm{ft}$ has a linear velocity of $30.0 \mathrm{ft} / \mathrm{s}$. Calculate the time for it to complete $4 \pi \mathrm{rad}$

Estimate the moment of inertia of a bicycle wheel $67 \mathrm{~cm}$ in diameter. The rim and tire have a combined mass of $1.1 \mathrm{~kg}$. The mass of the hub (at the center) can be ignored (why?).

Eight-year-old Allie Oop, an aspiring basketball player, shoots five feet from the hoop. She is trying to get the ball above the rim, which is set at a height of 10 feet. She releases the ball from an initial height of 4 feet. The following equation models the path of the ball, where x is the horizontal distance in feet that the ball has traveled and h is the ball's height in feet above the ground.

$$h=-0.4 x^2+3 x+4$$

Allie practices her shot, but it never reaches the rim, so her father lowers the hoop to 9 feet. Now will the ball reach the height of the rim? Justify your answer.

Find the velocity V of a point on the rim of a wheel if r = 25 ft and omega = 7.4 rad/min.

Recreation Suppose that the ferris wheel of the Exercise earlier has a diameter of $220 \mathrm{ft}$. Determine the linear velocity of a car on the rim of the wheel.