A tandem (two-person) bicycle team must overcome a force of 165 Newtons to maintain a speed of 9.00 m/s. Find the power required per rider, assuming that each contributes equally.

The power required per rider is 742.5 W

Explanation:

Given;

force to be overcome, F = 165 Newtons

speed to be maintained, v = 9.00 m/s

Power = force x velocity

Power = 165 N x 9 m/s

Power = 1485 W

Power required per rider, assuming that each contributes equally;

Power per rider = ¹/₂ x 1485 W

Power per rider = 742.5 W

Therefore, the power required per rider, assuming that each contributes equally is 742.5 W

742.5 W

Explanation:

Power: This can be defined as the product of the force of a body and it's velocity. The S. I unit of power is Watt (W).

The total power required is given as

Pt = F*V ... Equation 1

Where Pt = Total power, F = Force, V = Velocity.

Given: F = 165 N, V = 9.0 m/s.

substitute into equation 1

Pt = 165*9

Pt = 1485 W

The power required per rider assuming that each contributes equally

P = Pt/2

P = 1485/2

P = 742.5 W

Hence the power required per rider = 742.5 W