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Chapter 10: Q15P (page 288)
Starting from rest, a wheel has constant acceleration . During a certain role="math" localid="1660898447415" interval, it turns through. How much time did it take to reach that interval?
Wheel requires time to reach that interval.
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A disk rotates about its central axis starting from rest and accelerates with constant angular acceleration. At one time it is rotating at revolutions later, its angular speed is .
Calculate
(a) the angular acceleration,
(b) the time required to complete the revolutions,
(c) the time required to reach the angular speed, and
(d) the number of revolutions from rest until the time the disk reaches the angular speed
Trucks can be run on energy stored in a rotating flywheel, with an electric motor getting the flywheel up to its top speed of. Suppose that one such flywheel is a solid, uniform cylinder with a mass of 500kg and a radius of 1.0m. (a) What is the kinetic energy of the flywheel after charging? (b) If the truck uses an average power of 8.0kW, for how many minutes can it operate between chargings?
Figure 10-36shows an arrangement of 15identical disks that have been glued together in a rod-like shape of length L = 1.0000M and (total) massM = 100.0mg. The disks are uniform, and the disk arrangement can rotate about a perpendicular axis through its central disk at point O . (a) What is the rotational inertia of the arrangement about that axis? (b) If we approximated the arrangement as being a uniform rod of mass Mand length L , what percentage error would we make in using the formula in Table 10-2eto calculate the rotational inertia?
Calculate the rotational inertia of a meter stick, with mass 0.56kg, about an axis perpendicular to the stick and located at the 20cmmark. (Treat the stick as a thin rod.)
A wheel of radius is mounted on a frictionless horizontal axis. The rotational inertia of the wheel about the axis is . A mass less cord wrapped around the wheel is attached to a block that slides on a horizontal frictionless surface. If a horizontal force of magnitude is applied to the block as shown in Fig., what is the magnitude of the angular acceleration of the wheel? Assume the cord does not slip on the wheel.
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