Understanding Torque in Mechanics

Explore the concept of torque in mechanics, which is a twisting force that can cause angular acceleration. Learn how to calculate torque by multiplying the distance from the rotation center and the applied force, and understand the importance of the angle between force and distance. Discover practical examples and calculations involving torque in various scenarios to deepen your understanding of this critical concept in physics.

• Torque Mechanics
• Angular Acceleration
• Force Application
• Calculation Examples
• Physics Concepts

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Uploaded on Sep 26, 2024 | 1 Views

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1. Statics: Torque What is torque Example Whiteboards F r

2. Angular Mechanics - Torque TorqueA twisting force So how do you increase torque? Push farther out: or F F Push with more force: TOC

3. Angular Mechanics - Torque TorqueA twisting force that can cause an angular acceleration. = rxF F r If r = .5 m, and F = 80 N, then = (.5m)(80N) = 40 mN. Torque is also in foot pounds (Torque Wrenches) TOC

4. Angular Mechanics - Torque TorqueA twisting force that can cause an angular acceleration. = rxF = rFsin F Fsin r Only the perpendicular component gives rise to torque. (That s why it s sin ) TOC

5. Tough Example:Whats the torque here? = 56o F = 16 N r = 24 cm Ok This is as tricky as it can be: use = rFsin , r = .24 m, F = 16 N But use not 56o. You want to use the angle between r and F which is 90 56 = 34o Finally, = (.24 m)(16 N)sin(34o) = 2.1 mN TOC

6. Whiteboards: Torque 1 | 2 | 3 TOC

7. What is the torque when you have 25 N of force perpendicular 75 cm from the center of rotation? = rFsin = (.75 m)(25 N) sin(90o) = 18.75 mN = 19 mN W 19 mN

8. If you want 52.0 mN of torque, what force must you exert at an angle of 65.0o to the end of a .340 m long wrench? F 65o .340 m = rFsin 52 mN = (.34 m)(F) sin(65o) F =(52mN)/((.34m) sin(65o))=168.75 N F = 169 N W 169 N

9. The axle nut of a Volkswagen requires 200. foot pounds to loosen. How far out (in feet) do you stand on the horizontal wrench if you weigh 145 lbs? = rFsin 200. ft lbs = (r)(145 lbs) sin(90o) r = (200. ft lbs)/(145 lbs) = 1.3793 feet r = 1.38 feet (1 41/2 ) W 1.38 feet