Robin is standing terrified at the end of a diving board, which is high above the water. If Robin has a mass of 56 kg and is standing 1.5 m from the board's pivot point, what torque is Robin exerting on the board?
What is 56*9.8*1.5 Nm
To calculate the torque that Robin is exerting on the diving board, we need to use the formula:
Torque = Force × Distance.
In this case, the force exerted by Robin is equal to her weight, which is given by the equation:
Force = Mass × Gravity.
Where:
Mass = 56 kg (Robin's mass)
Gravity = 9.8 m/s² (acceleration due to gravity)
Plugging in these values, we can calculate the force:
Force = 56 kg × 9.8 m/s²
Force = 548.8 N (Newtons)
Next, we need to determine the distance from the pivot point. This distance is given as 1.5 m.
Now, we can calculate the torque:
Torque = Force × Distance
Torque = 548.8 N × 1.5 m
Torque = 823.2 N·m (Newton meters)
Therefore, Robin is exerting a torque of 823.2 N·m on the diving board.
To find the torque exerted by Robin on the diving board, we need to consider the force exerted by Robin and the distance between the force and the pivot point.
Torque (τ) is calculated using the equation:
τ = force × distance
First, we need to find the force exerted by Robin. In this case, the force is equal to the weight of Robin, which can be calculated using the equation:
Force (F) = mass × gravity
where the mass of Robin is 56 kg and assuming a standard gravity of 9.8 m/s².
F = 56 kg × 9.8 m/s²
F = 549.6 N
Next, we need to calculate the distance between the force and the pivot point. The distance in this scenario is given as 1.5 m.
Now, we can calculate the torque:
τ = F × distance
τ = 549.6 N × 1.5 m
τ = 824.4 N·m
Therefore, Robin is exerting a torque of 824.4 N·m on the diving board.