A 7.2 kg diver stands at the end of a diving board 2.80 meters from its support. calculate the magnitude of the torque cause by the diver on the board the point of support.
torque= distance*force
where force= mass*g
197.568
To calculate the torque caused by the diver on the diving board at the point of support, you will need to use the formula:
Torque = Force x Distance x sin(θ)
Where:
- Torque is the rotational force causing rotational motion.
- Force is the force acting on the object.
- Distance is the perpendicular distance from the point of rotation (pivot) to the line of action of the force.
- θ (theta) is the angle between the force vector and the lever arm vector.
In this case, the force causing the torque is the weight of the diver, which can be calculated using the formula:
Force = Mass x Acceleration due to gravity
Given:
Mass of the diver (m) = 7.2 kg
Distance (r) = 2.80 m (distance from the support)
First, let's calculate the force acting on the diver:
Force = Mass x Acceleration due to gravity
Force = 7.2 kg x 9.8 m/s²
Force ≈ 70.56 N
Next, we need to determine the angle θ between the force vector and the lever arm vector. In this case, since the diver is standing vertically and the force is acting vertically downwards, θ is 0 degrees or π radians.
Now, we can calculate the torque:
Torque = Force x Distance x sin(θ)
Torque = 70.56 N x 2.80 m x sin(0)
Torque = 70.56 N x 2.80 m x 0
Torque = 0 N·m
Therefore, the magnitude of the torque caused by the diver on the diving board at the point of support is 0 N·m.