Question #298913

help me solve this pls a cyclist of mass 82kg is riding his 13kg bicycle up a 1 in 10 inclines. what power does he need to develop in order to maintain a constant speed of 24 kph?


1
Expert's answer
2022-02-17T04:36:48-0500

Given:

m=82kg+13kg=95kgm=\rm 82\: kg+13\: kg=95\: kg

sinθ=1/10\sin\theta=1/10

v=24km/hr=6.67m/sv=24\:\rm km/hr=6.67\: m/s


The net force


F=mgsinθ=959.81/10=93.1NF=mg\sin\theta=95*9.8*1/10=93.1\:\rm N

The total work done


W=Fd=FvtW=Fd=Fvt


The required power

P=Wt=Fv=93.16.67=621WP=\frac{W}{t}=Fv=93.1*6.67=621\:\rm W


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Comments

Ezekiel
17.02.22, 12:52

Thanks, you did a great job.

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