Number of revolutions taken by wheels with different diameters in covering same distance is different. Justify this statement by finding the number of revolutions taken by the wheels with radius 35 cm and 42 cm in covering a distance of 33 km.
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The wheel of a motor cycle is of radius 35 cm. The number of revolutions per minute must the wheel make so as to keep a speed of 66 km/h is
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Correct option is C)
Given:
The radius of a wheel =r=35 cm=0.35 cm.
The speed it must keep =s=66 km/h=
60
66×1000
m/min=1100 m/min
To find out:
The number of revolution =n, it makes per minute to maintain that speed.
Solution:
The circumference =C of the wheel =2πr=2×
7
22
×0.35 m=2.2 m=C
The distance the wheel covers in 1 min=d=1100 m.
Now the distance =d covered by a wheel in one revolution = the circumference of the wheel.
∴ Here the number of revolution =n=
C
d
=
2.2
1100
=500.