Solving for work Power equations

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In summary, bicyclists in the Tour de France, such as Lance Armstrong, exert a lot of effort during a race. For example, Armstrong's average power per kilogram is 6.50 W per kg of his body mass. In a 155-km race with an average speed of 12.3 m/s, he does approximately 6143292.682926829 J of work, which is equivalent to 1466.846 Calories. It should be noted that 1 joule is equal to 2.389 x 10-4 nutritional Calories.
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eanderson
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Bicyclists in the Tour de France do enormous amounts of work during a race. For example, the average power per kilogram generated by Lance Armstrong (m = 75.0 kg) is 6.50 W per kilogram of his body mass. (a) How much work does he do during a 155-km race in which his average speed is 12.3 m/s? (b) Often, the work done is expressed in nutritional Calories rather than in joules. Express the work done in part (a) in terms of nutritional Calories, noting that 1 joule = 2.389 x 10-4 nutritional Calories.

(avg)P=w/t

ke=1/2mv^2

w=KEf - KEi

(avg)P= F * S(avg)
 
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  • #2
the answer for those numbers is:

A: 6143292.682926829 J
B: 1466.846 Calories
 
  • #3
eanderson said:
the answer for those numbers is:

A: 6143292.682926829 J
B: 1466.846 Calories

Looks good. watch the rounding though... I'm getting 1467.6 calories...
 

1. What is work power?

Work power is the amount of work done per unit of time. It is a measure of how quickly a force can do work. It is measured in watts (W) or joules per second (J/s).

2. How do you solve for work power?

To solve for work power, you can use the formula P = W/t, where P is power, W is work, and t is time. Alternatively, you can also use the formula P = F × v, where F is force and v is velocity.

3. Can you explain the relationship between work and power?

Work and power have a direct relationship. The more work that is done in a given amount of time, the higher the power. This means that increasing the work done or decreasing the time taken will result in an increase in power.

4. How is work power useful in real life?

Work power is useful in various fields such as engineering, physics, and sports. It helps to determine the efficiency of machines, the speed of an object, and the amount of energy required to perform a task. It also plays a crucial role in understanding human performance in sports and exercise.

5. What are some common units used to measure work power?

The most common units used to measure work power are watts (W), kilowatts (kW), and horsepower (hp). Other units such as foot-pounds per minute (ft-lb/min) and calories per second (cal/s) may also be used in certain contexts.

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