High School

A woman opens a 1.10 m wide door by pushing on it with a force of 46.5 N applied at the center of the door, at an angle perpendicular to the door's surface.

What is the magnitude of the torque (in N⋅m)?

Answer :

The torque applied the woman in opening the door is 25.58 Nm.

How to calculate the torque?

The torque applied the woman in opening the door is calculated by applying the following formula as shown below.

τ = rF

where;

r is the perpendicular distance of the applied force

F is the magnitude of the applied force

The perpendicular distance from the center of the door is calculated as;

r = ¹/₂ x 1.10 m

r = 0.55 m

The magnitude of the applied force = 46.5 N

The torque applied the woman in opening the door is calculated as follows;

τ = rF

τ = 0.55 m x 46.5 N

τ = 25.58 Nm