An old millstone, used for grinding grain in a gristmill, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 300 N applied to its edge causes the wheel to have an angular acceleration of 0.812 rad/s2. (a) What is the moment of inertia of the wheel (in kg · m2)? ____ kg · m2   (b) What is the mass (in kg) of the wheel? ____ kg   (c) The wheel starts from rest and the tangential force remains constant over a time period of 6.00 s. What is the angular speed (in rad/s) of the wheel at the end of this time period? _____rad/s

The angular position of a point on a rotating wheel is given by 0 = 7.67+3.84t2 +3.65t3, where e is in radians and t is in seconds. At t= 0, what are (a) the point's angular position and (b) its angular velocity? (c) What is its angular velocity at t 8.10 s? (d) Calculate its angular acceleration at t = 2.83 s. (e) Is its angular acceleration constant? (a) Number Units (b) Number Units (c) Number i Units (d) Number i Units (e) Number

A rigid body with a cylindrical cross-section is released from the top of a 31° incline. It rolls 13.0 m to the bottom in 3.13 s. Find the moment of inertia of the body in terms of its mass m and radius r. (Assume I is in kg · m2, m is in kilograms, and r is in meters. Do not include units in your answer.)

A dragster starts from rest and accelerates down a track. Each tire has a radius of 0.320 m and rolls without slipping. At a distance of 418 m, the angular speed of the wheels is 255 rad/s. Determine (a) the linear speed of the dragster and (b) the magnitude of the angular acceleration of its wheels. (a) v = (b) a= i i

A shaft is turning at 65 rad/s at time t=0. Thereafter, its angular acceleration is given by α = -10 rad/s2 - 5t rad/s3 , where t is the elapsed time. (a) Find its angular speed at t=3 s. (b) How far does it turn in these 3s?

An old grindstone, used for sharpening tools, is a solid cylindrical wheel that can rotate about its central axle with negligible friction. The radius of the wheel is 0.330 m. A constant tangential force of 200 N applied to its edge causes the wheel to have an angular acceleration of 0.936 rad/s². (a) What is the moment of inertia of the wheel (in kg. m²)? kg - m² (b) What is the mass (in kg) of the wheel? kg (c) The wheel starts from rest and the tangential force remains constant over a time period of 5.50 s. What is the angular speed (in rad/s) of the wheel at the end of this time period? rad/s F9 D

A spinning wheel that initially rotates at 6.3 rad/sec is braked uniformly to a stop in 6.3 second. What is the value of angular acceleration α?

A person is riding a bicycle, and its wheels have an angular velocity of 16.1 rad/s. Then, the brakes are applied and the bike is brought to a uniform stop. During braking, the angular displacement of each wheel is 12.7 revolutions. (a) How much time does it take for the bike to come to rest? (b) What is the anguar acceleration (in rad/s2) of each wheel?

A motorcycle, which has an initial linear speed of 9.2 m/s, decelerates to a speed of 1.5 m/s in 4.8 s. Each wheel has a radius of 0.63 m and is rotating in a counterclockwise (positive) directions. What is (a) the constant angular acceleration (in rad/s2) and (b) the angular displacement (in rad) of each wheel? fot (a) Number i (b) Number Units Units > @0 VO

A large grinding wheel in the shape of a solid cylinder of radius 0.330 m is free to rotate on a frictionless, vertical axle. A constant tangential force of 230 N applied to its edge causes the wheel to have an angular acceleration of 0.874 rad/s2. (a) What is the moment of inertia of the wheel?_______ kg · m2(b) What is the mass of the wheel?________ kg(c) If the wheel starts from rest, what is its angular velocity after 6.00 s have elapsed, assuming the force is acting during that time? _______rad/s