A woman applies a torque to a nut with a wrench 0.250 m long. Because of the cramped space, she must exert a force upward at an angle of 70.0° with respect to a line from the nut through the end of the wrench. If the force she exerts has magnitude 46.0 N, what magnitude torque (in N · m) does she apply to the nut? (Assume that the force is applied at the end of the wrench.)

A woman applies a torque to a nut with a wrench 0.250 m long. Because of the cramped space, she must exert a force upward at an angle of 70.0° with respect to a line from the nut through the end of the wrench. If the force she exerts has magnitude 46.0 N, what magnitude torque (in N · m) does she apply to the nut? (Assume that the force is applied at the end of the wrench.)

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter10: Rotational Motion

Section: Chapter Questions

Problem 27P: A force of F=(2.00i+3.00j) N is applied to an object that is pivoted about a fixed axle aligned...

See similar textbooks

Similar questions

Answer yes or no to the following questions. (a) Is it possible to calculate the torque acting on a rigid object without specifying an axis of rotation? (b) Is the torque independent of the location of the axis of rotation?
A force of F=(2.00i+3.00j) N is applied to an object that is pivoted about a fixed axle aligned along the z coordinate axis. The force is applied at the point r=(4.00i+5.00j)m. Find (a) the magnitude of the net torque about the z axis and (b) the direction of the torque vector .
The fishing pole in Figure P10.22 makes an angle of 20.0 with the horizontal. What is the torque exerted by the fish about an axis perpendicular to the page and passing through the anglers hand if the fish pulls on the fishing line with a force F=100N at an angle 37.0 below the horizontal? The force is applied at a point 2.00 m from the anglers hands. Figure P10.22
To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. Part (a)  Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r. Part (b)  Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 4.42 m, ry = 0.015 m, rz = 0.035 m, Fx = -4.2 N, Fy = 6.6 N, Fz = 2.8 N.   Part (c) If the moment of inertia of the beam with respect to the pivot is I = 368 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.
To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. (a)  Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r. (b)  Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 2.92 m, ry = 0.065 m, rz = 0.025 m, Fx = 5.8 N, Fy = -1.8 N, Fz = 6.6 N.   (c)  If the moment of inertia of the beam with respect to the pivot is I = 498 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.
A mechanic loosening a nut and found that the nut needs a torque with a magnitude of 46 N · m.  If the mechanic grasps the wrench as shown in the figure below. The distance between his hand and the center of nut r = 0.33 m and the angle between his hand and the wrench is θθ = 50 degrees. Determine the magnitude of the force F (in newtons) she must exert on the wrench.
Problem 22: To study torque experimentally, you apply a force to a beam. One end of the beam is attached to a pivot that allows the beam to rotate freely. The pivot is taken as the origin or your coordinate system. You apply a force of F = Fx i + Fy j + Fz k at a point r = rx i + ry j + rz k on the beam. Part (a) Enter a vector expression for the resulting torque, in terms of the unit vectors i, j, k and the components of F and r. Part (b) Calculate the magnitude of the torque, in newton meters, when the components of the position and force vectors have the values rx = 2.19m, ry = 0.025 m, rz = 0.035 m, Fx = -7.8 N, Fy = 1.2 N, Fz = 2.2 N. Part (c) If the moment of inertia of the beam with respect to the pivot is I = 494 kg˙m2, calculate the magnitude of the angular acceleration of the beam about the pivot, in radians per second squared.
The bolts on the cylinder head of an engine require tightening to a torque of 76 m⋅N. If a wrench is 28 cm long, what force perpendicular to the wrench must the mechanic exert at its end? Express your answer to two significant figures and include the appropriate units. Answer is 270 N. If the six-sided bolt head is 15 mm across, estimate the force applied near each of the six points by a socket wrench. Express your answer to two significant figures and include the appropriate units.
A person exerts a horizontal force of 35 N on the end of a door 59 cm wide. What is the magnitude of the torque if the force is exerted (a) _____ (b) at a _____ to the door and angle to the face of the door? Round off your answer in 2 decimal point. No need to include the unit.
When tightening a bolt, you push perpendicularly on a wrench with a force of 161 N at a distance of 0.140 m from the center of the bolt. (a) How much torque are you exerting in newtons ✕ meters (relative to the center of the bolt)? N · m (b) Convert this torque to footpounds. ft · lb
The cylindrical head bolts on a car are to be tightened with a torque of 67.3 N · m. If a mechanic uses a wrench of length 21.7 cm, what perpendicular force (in N) must he exert on the end of the wrench to tighten a bolt correctly? (Enter the magnitude.)
According to the manual of a certain car, a maximum torque of magnitude 57.0 N · m should be applied when tightening the lug nuts on the vehicle. If you use a wrench of length 0.269 m and you apply the force at the end of the wrench at an angle of 75.00° with respect to a line going from the lug nut through the end of the handle, what is the magnitude of the maximum force you can exert on the handle without exceeding the recommendation? N Need Help? Read It E Show My Work (Optional) ?