a person weights 550 N rides a bike. the pedals move in a circle of radius 30 cm. if the entire wt acts on each downward moving pedal, what is maximum torque
To find the maximum torque exerted by the person while riding the bike, we need to calculate the force applied on the pedal and the lever arm.
1. First, let's convert the weight of the person from Newtons to kilograms. Since the weight is given as 550 N, we divide it by the acceleration due to gravity, approximately 9.8 m/s^2:
Weight = 550 N / 9.8 m/s^2 = 56.12 kg
2. The force applied on each downward-moving pedal is equal to the weight of the person, as mentioned in the question. So, the force applied on each pedal is 56.12 kg.
3. Now let's calculate the torque by multiplying the force applied on the pedal by the lever arm. The lever arm is the distance between the center of the pedal movement (pivot point) and the point where the force is applied. In this case, the pedal moves in a circle of radius 30 cm, which is equivalent to 0.3 meters:
Torque = Force x Lever Arm
Torque = 56.12 kg x 0.3 m
Torque = 16.836 N.m
Therefore, the maximum torque exerted by the person riding the bike is 16.836 N.m.