2. When tightening a bolt, you push perpendicularly on a wrench with a force of 165 N at a distance of 0.140 m from the center of the bolt. (a) How much torque are you exerting in newton × meters (relative to the center of the bolt)? (23.1 Nm) (b) Convert this torque to footpounds. (17.0 ftlb)
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- 16. The moment of inertia ("rotational mass") of a propeller on a car is 6.67 kg m2. Calculate the torque ("rotational force") needed to rotate it from rest to 68 rad/sec in 2 seconds.40. A ball swings around a pivot at a constant rate due to an applied force. If the applied force is increased by a factor of four in the direction of the pivot, the ball’s angular velocity willA. decrease by a factor of 2.B. increase by a factor of 2.C. decrease by a factor of 4.D. increase by a factor of 4.1. To tighten a bolt, you push with a force of 100 Nat the end of the wrench handle that is0.5 m from the axis of the bolt. (a) What torque are you exerting? (0.5M)(100N) = 50n/m of Torque (b) If you move your hand inward to be only 0.2 m from the bolt, how much force do youneed to exert to achieve the same torque? (0.8M)(100N) = 80n/m-50n/m = 30n/m more (c) Do your answers depend on the direction of your push relative to the direction of thewrench handle? Yes (90 degrees) perpendicular
- 2. Given a displacement F = 4.0m 1 + 1.0m ĵ + 1.0m K, and a force F = 7.0N 1 +2.5N Ĵ- 5.0N K Find the torque.1. A bar fixed at point C experiences three forces . The forces F1 , F2 and F3 have respective magnitudes of 23 N , 23 N and 18N . What is the net torque in Nm (including sign ). 2. The wheels , axle, and handles of a wheel-barrow weigh 117 N (W). What is the force F needed to hold the wheel-barrow in equilibrium if its loaded with 220N of dirt.7. A 45 N force is being applied to a lever a distance of 0.75 m away from the lever's axis of rotation at an angle of 60 degrees from the lever. Find the torque applied to the lever.
- 6. A wrench is applied to the head of a bolt. A tangential force of 35 N is applied as shown 0.24 m from the bolt's head. The rotational inertia has already been calculated for you and is 6.3 kg*m?. What was the angular acceleration of the wrench? F=35N 0.24 mA car tire is usually torqued to about 75 foot-pounds. An ft-lb is the English equivalent to theNewton-meter. One ft-lb is equivalent to 1.356 N-m.Assuming the tire iron that comes with the car is 12”in length, what force is necessary if appliedperpendicular to the handle to reach thisrequirement?31. Which of the following is true for angular motion? A uniform net torque always causes an increase in angular speed. A uniform net torque always changes the direction of the angular displacement vector. A uniform net torque always change the magnitude of the rotational inertia. A uniform net torque will always cause a change of angular momentum.
- 6) A wrench that is 0.2 meters long lies along the positive y-axis and grips a bolt at the origin. A force is applied in the direction of (0, -3,-1). Find the magnitude of the force in newtons needed to supply 75 newton-meters of torque to the bolt.5) A torque of 35.3 N · m is applied to an initially motionless wheel which rotates around a fixed axis. This torque is the result of a directed force combined with a friction force. As a result of the applied torque the angular speed of the wheel increases from 0 to 10.1 rad/s. After 5.90 s the directed force is removed, and the wheel comes to rest 59.4 s later. (a) What is the wheel's moment of inertia (in kg · m2)? _kg · m2 (b) What is the magnitude of the torque caused by friction (in N · m)? _ N · m (c) From the time the directed force is initially applied, how many revolutions does the wheel go through? _ revolutions1. Calculate the net torque about point O for the two forces shown in the figure 15 N 6.7 N on the right. Assume the rod is massless. 38° Answer: 17 Nm clockwise 1.9 m 3.2 m