Question

While doing bicep curls, Tamara applies 155 Newtons of force to lift the dumbbell. Her forearm is 0.366 meters long and she begins the bicep curl with her elbow bent at a 15° angle below the horizontal, in the direction of the positive x-axis. Determine the magnitude of the torque about her elbow

Answer 1

Answer: Therefore, the magnitude of the torque about Tamara's elbow while doing the bicep curl is approximately 14.51 Newton meters.

Explanation:

To determine the magnitude of the torque about Tamara's elbow, we need to use the formula:

Torque = Force * Distance * sin(angle)

First, let's calculate the distance from the elbow to where the force is being applied. Tamara's forearm is 0.366 meters long, so that is the distance.

Next, we need to convert the angle from degrees to radians. The angle given is 15°. To convert degrees to radians, we use the formula:

radians = degrees * (π/180)

Plugging in the value, we get:

radians = 15° * (π/180) = 0.2618 radians

Now, we can calculate the torque using the formula:

Torque = 155 N * 0.366 m * sin(0.2618 radians)

Calculating the sine of the angle, we get:

sin(0.2618 radians) = 0.2588

Finally, we can plug in the values into the formula:

Torque = 155 N * 0.366 m * 0.2588

Simplifying the calculation, we find:

Torque ≈ 14.51 N*m

Therefore, the magnitude of the torque about Tamara's elbow while doing the bicep curl is approximately 14.51 Newton meters.