Supplementary Problems10.26 A force of 200 N acts tangentially on the rim of a wheel 25 cm in radius. (a) Find the torque. (b) Repeat ifthe force makes an angle of 40° to a spoke of the wheel. Ans. (a) 50 N-m; (b) 32 N-m10.27 A certain 8.0-kg wheel has a radius of gyration of 25 cm. (a) What is its moment of inertia? (b) How large atorque is required to give it an angular acceleration of 3.0 rad/s²? Ans. (a) 0.50 kg-m²; (b) 1.5 N-m10.28 Determine the constant torque that must be applied to a 50-kg flywheel, with radius of gyration 40 cm, togive it a frequency of 300 rpm in 10 s if it's initially at rest. Ans. 25 N-m10.29 A 4.0-kg wheel of 20 cm radius of gyration is rotating at 360 rpm. The retarding frictional torque is0.12 N-m. Compute the time it will take the wheel to coast to rest. Ans. 50 s10.30 Compute the rotational KE of a 25-kg wheel rotating at 6.0 rev/s if the radius of gyration of the wheel is22 cm. Ans. 0.86 kJ10.31 A cord 3.0 m long is coiled around the axle of a wheel. The cord is pulled with a constant force of 40 N.When the cord leaves the axle, the wheel is rotating at 2.0 rev/s. Determine the moment of inertia of thewheel and axle. Neglect friction. (Hint: The easiest solution is by the energy method.) Ans. 1.5 kg-m²10.32 A 500-g wheel that has a moment of inertia of 0.015 kg-m² is initially turning at 30 rev/s. It coasts to restafter 163 rev. How large is the torque that slowed it? Ans. 0.26 N-m10.33 When 100 J of work is done upon a flywheel, its angular speed increases from 60 rev/min to 180 rev/min.What is its moment of inertia? Ans. 0.63 kg-m²10.34 A 5.0-kg wheel with radius of gyration 20 cm is to be given a frequency of 10 rev/s in 25 revolutions fromrest. Find the constant unbalanced torque required. Ans. 2.5 N-m10.35 An electric motor runs at 900 rpm and delivers 2.0 hp. How much torque does it deliver? Ans. 16 N-mThe driving side of a belt has a tension of 1600 N, and the slack side has 500 N tension. The belt turns apulley 40 cm in radius at a rate of 300 rpm. This pulley drives a dynamo having 90 percent efficiency. Howmany kilowatts are being delivered by the dynamo? Ans. 12 kW10.3610.37 A 25-kg wheel has a radius of 40 cm and turns freely on a horizontal axis. The radius of gyration of thewheel is 30 cm. A 1.2-kg mass hangs at the end of a cord that is wound around the rim of the wheel. Thismass falls and causes the wheel to rotate. Find the acceleration of the falling mass and the tension in thecord. Ans. 0.77 m/s², 11 N10.38 A wheel and axle having a total moment of inertia of 0.0020 kg-m² is caused to rotate about a horizontalaxis by means of an 800-g mass attached to a cord wrapped around the axle. The radius of the axle is 2.0 cm.Starting from rest, how far must the mass fall to give the wheel a rotational rate of 3.0 rev/s?Ans. 5.3 cm10.39 A 20-kg solid disk (I=Mr²) rolls on a horizontal surface at the rate of 4.0 m/s. Compute its totalAns. 0.24 kJKE.10.40 A 6.0-kg bowling ball (I = 2Mr²/5) starts from rest and rolls down a gradual slope until it reaches a point80 cm lower than its starting point. How fast is it then moving? Ignore friction losses. Ans. 3.3 m/s10.41 A tiny solid ball (1 = 2Mr²/5) rolls without slipping on the inside surface of a hemisphere as shown in Fig.10-11. (The ball is much smaller than shown.) If the ball is released at A, how fast is it moving as it passes (a)point B, and (b) point C? Ans. (a) 2.65 m/s; (b) 2.32 m/s

As per guidelines, only first question is solved here.10.26Force , F= 200 NRadius of rim of wheel…

10.26 A force of 200 N acts tangentially on the rim of a wheel 25 cm in radius. (a) Find the torque. (b) Repeat if the force makes an angle of 40° to a spoke of the wheel. Ans. (a) 50 N-m; (b) 32 N-m

10.26 A force of 200 N acts tangentially on the rim of a wheel 25 cm in radius. (a) Find the torque. (b) Repeat if the force makes an angle of 40° to a spoke of the wheel. Ans. (a) 50 N-m; (b) 32 N-m

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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