In a clothes dryer, the rate of rotation is chosen so that a small piece of clothing will lose contact with the tub when it is at an angle = 71.0° above the horizontal, as shown. If the rate of rotation of the tub is 50.0 rev/min, find the radius of the tub r.

A model airplane of mass 0.820 kg flies with a speed of 35.0 m/s in a horizontal circle at the end of a 54.0-m control wire as shown in Figure (a). The forces exerted on the airplane are shown in Figure (b): the tension in the control wire, the gravitational force, and aerodynamic lift that acts at θ = 20.0° inward from the vertical. Compute the tension in the wire, assuming it makes a constant angle of θ = 20.0° with the horizontal. N

A bicycle is turned upside down while its owner repairs a flat tire on the rear wheel. A friend spins the front wheel, of radius 0.408 m, and observes that drops of water fly off tangentially in an upward direction when the drops are at the same level as the center of the wheel. She measures the height reached by drops moving vertically (see figure below). A drop that breaks loose from the tire on one turn rises h = 54.3 cm above the tangent point. A drop that breaks loose on the next turn rises 51.0 cm above the tangent point. The height to which the drops rise decreases because the angular speed of the wheel decreases. From this information, determine the magnitude of the average angular acceleration of the wheel. rad/s2 h

Engineers are designing a curved section of a highway to fit into a specific area. The curve has radius 121 m and is banked at an angle such that a car can travel around the curve at 28.7 m/s and stay on the road without the aid of a frictional force. Calculate the required banking angle (as measured above the horizontal). 0 =

A tire 1/2 m in radius rotates at a constant rate of 240 rev/min. Use v = rw to find the linear speed in meters/sec of a small stone lodged in the tread of the tire (on its outer edge).

A wheel of radius 75cm is rotating with a frequency of 3.0Hz about a fixed axis of rotation. What is the speed of a piece of chewing gum stuck to the rim?

A small object of mass 0.500 kg is attached by a 0.870 m- long cord to a pin set into the surface of a frictionless table top. The object moves in a circle on the horizontal surface with a speed of 7.85 m/s. What is the magnitude of the radial acceleration of the object? Was given an answer of 70.83 but it’s wrong.

An automobile with 0.230 m radius tires travels 65,000 km before wearing them out. How many revolutions do the tires make, neglecting any backing up and any change in radius due to wear?

A bug on a bicycle wheel moves in a circle through 40 pie radians. If the radius of the wheel is 0.6 meters in length, what is the total linear distance the rock moved?

A centrifuge is a common laboratory instrument that separates components of differing densities in solution. This is accomplished by spinning a sample around in a circle with a large angular speed. Suppose that after a centrifuge in a medical laboratory is turned off, it continues to rotate with a constant angular deceleration for 10.7s before coming to rest.How many revolutions did the centrifuge complete after being turned off?Δθ= (?) rev