The ability of a force to cause something to turn F 9/16 r = length of lever arm Equation = r *F Symbols/units = Torque (N*m) r = length of lever arm (m) F = force (N) Torque makes it easier to turn things Example: Normally it is difficult to loosen a nut or bolt by hand. A wrench does not make you any stronger, but it increases your turning ability. The farther a force is applied from the nut, the greater the torque it produces. Turning a wrench Levers Trucks Balances/scales A force of 20 N is applied to the end of a wrench that is 0.2 m long. What is the torque that is produced in this situation? = r *F = 0.2 m * 20 N = 4 N*m More than one torque can act on an object at one time. In order for the object not to spin, the torques must be balanced When torques are balanced they add up to zero Torques can cause objects to rotate either clockwise or counterclockwise. Clockwise torques (+) Counterclockwise torques (-) clockwise counterclockwise 3m F1 3m F2 F1 will cause the bar to rotate clockwise (+ torque) F2 will cause the bar to rotate counterclockwise (- torque) 3m 10N 3m 10N The rod will not rotate because the torque that makes the object want to rotate clockwise is balanced by the torque that makes it want to rotate counter-clockwise. Will the following object rotate or not? r1 = 3.2 m F1 = 8 N Determine the torque resulting from F1 1 = r1F1 = 2.5 *12 = 30 Nm Determine the torque resulting from F2 2 = r2F2 = 3.2 * 8 = 25.6 Nm r2 = 2.5 m F2 = 12 N Will the following object rotate or not? r1 = 3.2 m F1 = 8 N Object won’t rotate if net torque = 0 1 + 2 = 0? 1 + 2 = net 25.6 – 30 = net -4.4 N*m = net Object will rotate counterclockwise r2 = 2.5 m F2 = 12 N 35 N 7m 5m 175 N 6m A man, a turtle, and a box are positioned on a giant see-saw as shown. If the see-saw doesn’t rotate, what torque must the man produce? Determine the torque resulting from the turtle’s weight T = rTFT = 5 *35 = 175 Nm Determine the torque resulting from the box’s weight B = rBFB = 6 *175 = 1050 Nm 35 N 7m 5m 175 N 6m A man, a turtle, and a box are positioned on a giant see-saw as shown. If the see-saw doesn’t rotate, what torque must the man produce? Net Torque = 0 T + B + M = net -175 + 1050 - 3 = 0 875 - 3 = 0 3 = 875 N*m How much do I weigh? 35 N 7m 5m 175 N 6m A man, a turtle, and a box are positioned on a giant see-saw as shown. If the see-saw doesn’t rotate, how much must the man weigh? = rF 875 = (7)F 875 F 7 F = 125 N