A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at 6.60 rev/s; 45.0 revolutions later, its angular speed is 24.0 rev/s. Calculate (a) the angular acceleration (rev/s²), (b) the time required to complete the 45.0 revolutions, (c) the time required to reach the 6.60 rev/s angular speed, and (d) the number of revolutions from rest until the time the disk reaches the 6.60 rev/s angular speed. (a) Number i Unit (b) Number i Unit (c) Number i Unit

In the figure, wheel A of radiusrA = 13.9 cm is coupled by belt B to wheel C of radius rc = 24.4 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.45 rad/s². Find the time needed for wheel C to reach an angular speed of 50.5 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) Number i Units

The flywheel of a steam engine runs with a constant angular velocity of 132 rev/min. When steam is shut off, the friction of the bearings and of the air stops the wheel in 1.40 h. (a) What is the constant angular acceleration, in revolutions per minute-squared, of the wheel during the slowdown? (b) How many revolutions does the wheel make before stopping? (c) At the instant the flywheel is turning at 66.0 rev/min, what is the tangential component of the linear acceleration of a flywheel particle that is 42.7 cm from the axis of rotation? (d) What is the magnitude of the net linear acceleration of the particle in (c)?

A car initially traveling at 28.7 m/s undergoes a constant negative acceleration of magnitude 2.00 m/s2 after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.350 m? rev (b) What is the angular speed of the wheels when the car has traveled half the total distance? rad/s

A car initially traveling at 27.2 m/s undergoes a constant negative acceleration of magnitude 1.80 m/s2 after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.335 m? ?rev(b) What is the angular speed of the wheels when the car has traveled half the total distance?? rad/s

In the figure, wheel A of radius ra = 13.3 cm is coupled by belt B to wheel Cof radius rc=20.4 cm. The angular speed of wheel A is increased from rest at a constant rate of 1.43 rad/s2. Find the time needed for wheel C to reach an angular speed of 58.1 rev/min, assuming the belt does not slip. (Hint: If the belt does not slip, the linear speeds at the two rims must be equal.) TA Number i Units

A car initially traveling at 24.2 m/s undergoes a constant negative acceleration of magnitude 2.10 m/s? after its brakes are applied. (a) How many revolutions does each tire make before the car comes to a stop, assuming the car does not skid and the tires have radii of 0.325 m? 69.4 rev (b) What is the angular speed of the wheels when the car has traveled half the total distance? Your response differs from the correct answer by more than 10%. Double check your calculations. rad/s Need Help? Read It

A flywheel with a diameter of 2.12 m is rotating at an angular speed of 92.5 rev/min. (a) What is the angular speed of the flywheel in radians per second? (b) What is the linear speed of a point on the rim of the flywheel? (c) What constant angular acceleration (in revolutions per minute-squared) will increase the wheel's angular speed to 1250 rev/min in 58.6 s? (d) How many revolutions does the wheel make during that 58.6 s?