Maria has severe arthritis and can apply a maximum force of only 25.5N when open

Question

Maria has severe arthritis and can apply a maximum force of only 25.5N when opening her front door. a) How much more torque would Maria be able to apply if she purchased a lever-style door opener with a handle 12.7cm long compared to her conventional doorknob with a radius of 3.74-cm? b) how less force would she need to apply to the new door handle in order to maintain the original amount of torque she had with her old door knob Maria has severe arthritis and can apply a maximum force of only 25.5N when opening her front door. a) How much more torque would Maria be able to apply if she purchased a lever-style door opener with a handle 12.7cm long compared to her conventional doorknob with a radius of 3.74-cm? b) how less force would she need to apply to the new door handle in order to maintain the original amount of torque she had with her old door knob

Explanation / Answer

(a) torque =force *distance=25.5*0.127=3.2385 Nm

torque by conventional doorknob=25.5*0.0374=0.9537 Nm

(b) force required for new door knob=torque/distance=0.9537/0.127=7.5 N

so she need 18 N less force

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