A tandem bicycle team must overcome a force of 165 N to maintain a speed of 9.00m/s. Find the power required per rider, assuming that each contributes equally. Answer in watts.
Power= work/time= force*distance/time=force*velocity
Divide that power equally amongst the riders.
To find the power required per rider, we need to first calculate the total power required to overcome the force.
The power can be calculated using the formula:
Power = Force × Velocity
Given:
Force = 165 N
Velocity = 9.00 m/s
So, the total power required is:
Power = 165 N × 9.00 m/s
Power = 1485 N⋅m/s
Since there are two riders and each contributes equally, we divide the total power by 2 to get the power per rider:
Power per rider = 1485 N⋅m/s / 2
Power per rider ≈ 742.5 W
Therefore, the power required per rider is approximately 742.5 watts.
To find the power required per rider, we need to use the formula:
Power = Force × Velocity
Given:
Force = 165 N
Velocity = 9.00 m/s
Since there are two riders and assuming they contribute equally, we need to divide the total power by two.
Let's calculate it step by step:
1. Calculate the total power required:
Power = Force × Velocity
Power = 165 N × 9.00 m/s
2. Divide the total power by the number of riders:
Power per rider = Total Power / 2
Power per rider = (165 N × 9.00 m/s) / 2
Now let's solve the equation:
Power per rider = (1485 N·m/s) / 2
Power per rider = 742.5 N·m/s
The answer is 742.5 watts. Therefore, each rider would need to produce approximately 742.5 watts of power to maintain a speed of 9.00 m/s on the tandem bicycle.