# Calculating Torque of Diver on Board: 1.82 m for 56 kg

• needhelp83
In summary, torque is a measure of the rotational force on an object and is important to calculate for a diver on board in order to determine the stability of the platform and prevent tipping. To calculate torque for a diver on board, the distance between their center of mass and the axis of rotation and their mass must be known. Typical torque values for a diver on board can range from 0 to several hundred Newton-meters. The torque of a diver on board can affect the stability of the platform and safety precautions should be taken to prevent tipping.
needhelp83
How far out on a diving board (Fig.12-52 of your text) would a 56-kg diver have to be to exert a torque of 1000 m.N on the board, relative to the left support post?

1000 m*N= (56 kg)(9.8 m/s2)x
1000 m*N=548.8x
x=1.82 m

He would have to walk out 1.82 m on the board.

Is this done correctly?

yes, as far as I can tell!

Yes, your calculations are correct. To calculate torque, we use the formula T = Fd, where T is the torque, F is the force applied, and d is the distance from the pivot point. In this case, the pivot point is the left support post. So, the torque exerted by the diver can be calculated as T = (56 kg)(9.8 m/s2)(x), where x is the distance from the pivot point to the diver. Setting this equal to 1000 m*N and solving for x, we get x = 1.82 m. This means that the diver would need to walk out 1.82 m on the diving board to exert a torque of 1000 m*N on the board.

## 1. What is torque and why is it important to calculate for a diver on board?

Torque is a measure of the force that causes an object to rotate around an axis. In the case of a diver on board, calculating torque is important because it helps determine the stability of the platform and whether the diver's weight and movements could potentially cause the platform to tip over.

## 2. How is torque calculated for a diver on board?

To calculate torque for a diver on board, you will need to know the distance between the diver's center of mass and the axis of rotation (in this case, the edge of the platform) and the diver's mass. The formula for torque is torque = distance x force, so you will multiply the distance by the diver's weight (mass x acceleration due to gravity) to calculate the torque.

## 3. What is the typical range of torque values for a diver on board?

The torque values for a diver on board can vary depending on the diver's weight, the dimensions and stability of the platform, and the location of the diver's center of mass. Generally, torque values for a diver on board can range from 0 to several hundred Newton-meters.

## 4. How does the torque of a diver on board affect the stability of the platform?

The torque of a diver on board can affect the stability of the platform by exerting a rotational force on the platform. If the torque is large enough, it can cause the platform to tip over. This is why it is important to calculate torque and ensure that it stays within a safe range.

## 5. Are there any safety precautions that should be taken into consideration when calculating torque for a diver on board?

Yes, there are several safety precautions that should be taken into consideration when calculating torque for a diver on board. These include ensuring that the platform is stable and properly secured, that the diver's weight and movements are evenly distributed on the platform, and that the calculated torque stays within a safe range to prevent the platform from tipping over.

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