Question

An elite Tour de France cyclist can maintain an output power of 470 W during a sustained climb. Part A At this output power, how long would it take an 88 kg cyclist (including the mass of his bike) to climb the famed 1100-m-high Alpe d'Huez mountain stage? Neglect any friction.

Answer 1

Answer:

t = 33.63 minutes

Explanation:

Given that,

Output power, P = 470 W

Mass of the cyclist, m = 88 kg

Height of the mountain stage, h = 1100 m

To find,

Time taken to reach the cyclist

Solution,

The rate of doing work is called power delivered. Its formula is given by :

$P=\dfrac{W}{t}$

W is the work done

W = mgh

$P=\dfrac{mgh}{t}$

$470=\dfrac{88\times 9.8\times 1100}{t}$

$t=\dfrac{88\times 9.8\times 1100}{470}$

t = 2018.38 seconds

or

t = 33.63 minutes

So, the time taken by the cyclist is 33.63 minutes. Hence, this is the required solution.