If you are holding a 20kg dumbbell straight out at arms length assuming your arm is .69 m long, what tourque is the dumbbell exerting on the shoulder?
Force (M*g) times lever arm length.
20*9.8*0.69 = ___ Newton-meters
Thanks so much I couldn't figure it out.
To calculate the torque exerted by the dumbbell on the shoulder, you need to know the force applied and the distance from the pivot point (shoulder) to the line of action of that force. In this case, the force is the weight of the dumbbell and the distance is the length of your arm.
Here's how you can calculate the torque:
1. Convert the mass of the dumbbell from kilograms to newtons, which is its weight. The weight of an object is given by the formula W = m * g, where W is the weight, m is the mass, and g is the acceleration due to gravity. In this case, the mass is 20 kg and the acceleration due to gravity is approximately 9.8 m/s^2. So, W = 20 kg * 9.8 m/s^2.
2. Find the distance from the shoulder to the line of action of the force. In this case, it is equal to the length of your arm, which is 0.69 m.
3. Calculate the torque using the formula Torque = force * distance. The force is the weight of the dumbbell, W, and the distance is the length of your arm. So, Torque = W * 0.69 m.
4. Substitute the calculated values into the equation to find the torque.
Note: Make sure to use consistent units throughout the calculation, such as meters and newtons.
Now you have the steps to calculate the torque exerted by the dumbbell on the shoulder. Plug in the values you know and follow the steps to find the answer!