Question

A pirate with a mass of 90 kg stands on the end of a plank that extends 2 m beyond the gunwale. What torque is needed to keep him from falling into the water?

a. 1600 N"m
b. 180 N"m
c. 45 N"m
d. 1764 N"m

Answer 1

The torque needed to keep the pirate from falling into the water is 1764 N"m.option D.

Step-by-step explanation:

To calculate the torque needed to keep the pirate from falling into the water, we can use the formula:

Torque = Force x Distance

The force acting on the pirate is the weight of the pirate, which is equal to the mass of the pirate multiplied by the acceleration due to gravity.

Weight = mass x g

The distance is the distance from the gunwale to the end of the plank.

Plugging in the given values, we have:

Weight = 90 kg x 9.8 m/s² = 882 N

Torque = 882 N x 2 m = 1764 N"m

Therefore, the torque needed to keep the pirate from falling into the water is 1764 N"m (option d).