A person exerts a horizontal force of 83 NN on the end of a door 72 cmcm wide.Part AWhat is the magnitude of the torque if the force is exerted perpendicular to the door?Express your answer using two significant figure
Question
A person exerts a horizontal force of 83 NN on the end of a door 72 cmcm wide.Part AWhat is the magnitude of the torque if the force is exerted perpendicular to the door?Express your answer using two significant figure
Solution
The torque (τ) on an object is calculated by the equation τ = rFsinθ, where r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.
In this case, the force is applied perpendicular to the door, so θ = 90 degrees. The sine of 90 degrees is 1, so the equation simplifies to τ = rF.
The force (F) is given as 83 N and the distance (r) is given as 72 cm, but we need to convert this to meters to match the units of the force. So, r = 72 cm = 0.72 m.
Substituting these values into the equation gives:
τ = (0.72 m)(83 N) = 59.76 N*m
Rounding to two significant figures gives a torque of 60 N*m.
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