Bycicle riding - What power is required at the pedals

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In summary, the power required at the pedals of cycles can be calculated using the equation W = Cv [K1 + K2 (Cv + Cw) ©÷ + 10.32 ¥Òm (s/100 + 1.01a/g)]. K1 and K2 are constants that can vary depending on the specific problem and can be found in the source material.
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Genesis
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The power required at the pedals of these cycles at any speed on a level, smooth, hard surface, in still air can be expressed as:

W = Cv [K1 + K2 (Cv + Cw) ©÷ + 10.32 ¥Òm (s/100 + 1.01a/g)]

I found this equation, but I don't get what K1 and K2 is

Cw ¡æ speed of headwind in m/s
¥Òm ¡æ total mass of the rider + clothing + bicycle in kg
a/g ¡æ bicycle¡¯s acceleration as a proportion of gravitational acceleration

Does anybody know what K1 and K2 are?

Thanks in advance! :)
 
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  • #2
You started off by referring to "these cycles" without any explanation, used symbols that did not translate properly, and don't tell us where you got that equation.

No, no one is going to be able to tell you what "K1" and "K2" are. They clearly are intended to be constants but what constants depends on the specific problem. I recommend you go back to the book from which you got the formula. All constants should be defined there (you might need to read the entire section the formula is into find them).
 
  • #3


Hi there,

Thank you for sharing this equation for calculating the power required at the pedals while riding a bicycle. K1 and K2 are coefficients that are used to account for different factors that affect the power required, such as air resistance and rolling resistance. K1 takes into account the air resistance, which is affected by the speed of headwind (Cw) and the coefficient of drag (Cv). K2 takes into account the rolling resistance, which is affected by the total mass of the rider, clothing, and bicycle (¥Òm) as well as the slope of the surface (a/g). Both K1 and K2 are used to adjust the overall power required at the pedals based on these factors.

I hope this helps to clarify the equation for you. Happy riding!
 

FAQ: Bycicle riding - What power is required at the pedals

What is the definition of power in the context of bicycle riding?

Power in the context of bicycle riding refers to the rate at which work is done, or the amount of energy transferred per unit of time. In other words, it is the force applied to the pedals multiplied by the velocity at which the pedals are being turned.

How is power measured in bicycle riding?

Power in bicycle riding is typically measured in watts (W), with one watt equal to one joule of energy transferred per second. This measurement can be obtained through various methods, such as using a power meter or calculating power based on speed and resistance.

What factors determine the power required at the pedals when riding a bicycle?

The power required at the pedals when riding a bicycle depends on several factors, including the rider's weight, the terrain, the bicycle's weight and aerodynamics, and the wind speed and direction. The type of surface the bicycle is being ridden on, such as pavement or gravel, can also affect the power required.

How does power affect a cyclist's performance?

The power produced by a cyclist directly affects their performance, as it determines how fast they can ride and how long they can sustain their effort. Higher power output allows for faster speeds and the ability to tackle more challenging terrain. However, sustaining high levels of power for an extended period can lead to fatigue and affect performance.

Is there a recommended power output for cyclists?

There is no specific recommended power output for cyclists, as it varies depending on the individual's fitness level, goals, and type of riding. However, professional cyclists can sustain power outputs of 400-500 watts for an hour or more, while recreational cyclists may average around 150 watts for an hour. It is important for individuals to train and increase their power output gradually to avoid injury and improve performance.

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