2. A wheel of radius 1 m starts from rest and is given an angular acceleration of 5 rad/s². (a) Find a, of a point at its rim and (b) calculate the a of the point after 4 seconds.
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- A bus contains a 1500 kg, 0.600 m radius flywheel (a disk) and has a total mass of 10,000 kg. (a) Calculate the angular velocity the flywheel must have, in rad/s, to contain enough energy to take the bus from rest to a speed of 18.0 m/s, assuming 82.0% of the rotational kinetic energy can be transformed into translational energy. rad/s (b) How high a hill, in meters, can the bus climb with this stored energy and still have a speed of 5.00 m/s at the top of the hill?A bicyclist starting at rest produces a constant angular acceleration of 1.50 rad/s2 for wheels that are 33.0 cm in radius. HINT (a) What is the bicycle's linear acceleration (in m/s2)? (Enter the magnitude.) m/s? (b) What is the angular speed of the wheels (in rad/s) when the bicyclist reaches 11.4 m/s? rad/s (c) How many radians have the wheels turned through in that time? rad (d) How far (in m) has the bicycle traveled? Need Help? Watch It Read ItNeeds Complete typed solution with 100 % accuracy.
- If a flywheel is initially moving at an angular velocity Wi = 10 rad/s and accelerates to a final angular velocity Wf = 400 rad/s in a time of 3 seconds, calculate: a.) the angular acceleration (alpha = a) b.) the angular displacement (theta)A dentist causes the bit of a high speed drill to accelerate from an angular speed of 1.76e4 rad/s to an angular speed of 3.71e4 rad/s. In the process, the bit turns through 1.62e4 rad.Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 8.42e4 rad/s starting from rest.7. A bicyclist starting at rest produces a constant angular acceleration of 1.70 rad/s2 for wheels that are 34.0 cm in radius. (a) What is the bicycle's linear acceleration (in m/s2)? (Enter the magnitude.) (b) What is the angular speed of the wheels (in rad/s) when the bicyclist reaches 11.2 m/s? nehe energy (in (c) How many radians have the wheels turned through in that time? (d) How far (in m) has the bicycle traveled? TRUE or FALSE hects l fas anter cbjectsAUEc.se es c er Cupndently when pero TRUE OALSE
- 7. A bicyclist starting at rest produces a constant angular acceleration of 1.70 rad/s2 for wheels that are 34.0 cm in radius. (a) What is the bicycle's linear acceleration (in m/s2)? (Enter the magnitude.) (b) What is the angular speed of the wheels (in rad/s) when the bicyclist reaches 11.2 m/s? (c) How many radians have the wheels turned through in that time? (d) How far (in m) has the bicycle traveled?A disk 8.02 cm in radius rotates at a constant rate of 1 260 rev/min about its central axis. (a) Determine its angular speed. rad/s (b) Determine the tangential speed at a point 2.90 cm from its center. m/s (c) Determine the radial acceleration of a point on the rim. magnitude km/s² direction ---Select--- (d) Determine the total distance a point on the rim moves in 2.02 s. mThe wheel of an 80 cm diameter bicycle rotates at 50 rpm the moment a cyclist sees a pedestrian crossing. It applies the brake and comes to a complete stop 3 seconds later with constant deceleration during that period. Calculatea) The angular acceleration of the break.b) The number of turns made in 3 seconds.c) The angular velocity, period and frequency when the movement is UCM.d) Draw the velocity vector, the tangential acceleration vector and the normal acceleration vector for a point on the tire during braking.