Answer:
The maximum torque exerted by the person is, τ = 89.96 kg m² s⁻²
Step-by-step explanation:
Given data,
The mass of the person riding a bike, m = 54 kg
The radius of rotation of the pedal, r = 17 cm
= 0.17 m
The torque exerted by the person is given by the formula,
τ = F r Sin θ
Where,
θ is the angle between F and R
The maximum torque exerted by the person is at θ = 90°
Therefore,
τ = F r
= m x g x r
= 54 x 9.8 x 0.17
= 89.96 kg m² s⁻²
Hence, the maximum torque exerted by the person is, τ = 89.96 kg m² s⁻²