A wheel is spinning at 41 rpm with its axis vertical. After 15 s, it's spinning at 70 rpm with its axis horizontal. Find (a) the magnitude of its average angular acceleration and (b) the angle the average angular acceleration vector makes with the horizontal
A wheel is spinning at 41 rpm with its axis vertical. After 15 s, it's spinning...
18. A wheel is spinning about a horizontal axis with angular speed 150 rad/s and with its angular velocity pointing east. Find the magnitude and direction of its angular velocity after an angular acceleration of 40 rad/s, pointing 64° west of north, is applied for 5.0 s.
A wheel 2.10 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 3.50 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel (b) the tangential speed of the point P...
A wheel 2.50 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 3.55 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel 7.1 rad/s (b) the tangential speed of the point P (c)...
A wheel 2.30 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration of 4.50 rad/s2. The wheel starts at rest at t = 0, and the radius vector of a certain point P on the rim makes an angle of 57.3° with the horizontal at this time. At t = 2.00 s, find the following. (a) the angular speed of the wheel rad/s (b) the tangential speed of the point...
A wheel starts from rest and rotates about its axis with constant angular acceleration. After 7.5 s have elapsed, it has rotated through an angle of 15 radians. What is the angular acceleration of the wheel?
A wheel 1.55 m in diameter lies in a vertical plane and rotates about its central axis with a constant angular acceleration af 3.55a2. The wheel stats at reat at t-o, arnd the radius vector of a certaln pcirt P on the rim makes an angle of 57.3e with tha horizontal at this time. At t - 2.00 s, firnd the following (a) the angular speed of the wheel rad/s (b) the tangential speed of the paint ρ ]V m/s...
After 11.6 s, a spinning roulette wheel has slowed down to an angular velocity of 2.34 rad/s. During this time, the wheel has an angular acceleration of -6.26 rad/s2. Determine the angular displacement of the wheel.
At the start of a CD it is spinning at a rate of 525 rpm (revolutions per minute). Just as the CD finishes playing it is spinning at a rate of 231 rpm. While playing, the CD undergoes a constant angular acceleration of -7.93·10-3 rad/s2. Find the angle through which the CD has rotated during its playing time. (in rad) Find the playing time. (in s)
6) A giant Ferris wheel is spinning at 70 rad/s. It is switched off and accelerates at the rate of -10 rad/s2. How many full revolutions will it complete in 3.0 s?9) What is the total initial acceleration of a tether ball on a 2.0 m rope whose angular velocity changes from 13 rad/s to 7.0 rad/s in 15 s?12) A wheel rotates at an angular velocity of 30 rad/s. If an acceleration of 26 rad/s2 is applied to it,...
A student holds a spinning bicycle wheel while sitting
motionless on a stool that is free to rotate about a vertical axis
through its center (see the figure below). The wheel spins with an
angular speed of 16.1 rad/s and its initial angular momentum is
directed up. The wheel's moment of inertia is 0.110 kg ·
m2 and the moment of inertia for the student plus stool
is 3.30 kg · m2.
(a)
Find the student's final angular speed (in...