The weight of a rider driving a scooter is assumed to be distributed equally on both the tyres. The area of contact of each tyre is 10 cm2. If the pressure inside the tyre is 3 x 105 Pa, find the mass of the rider.
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Answer:
Area of contact of each tyre =10cm
2
Area of contact of two tyres (A)
=2×10cm
2
=20cm
2
=20×10
−4
m
2
(∴1cm
2
=10
−4
m
2
)
Pressure(P)=2bar=2×10
5
Pa(∴1bar=10
5
Pa)
Weight of the person=pressure×area
W=P×A=2×10
5
×20×10
−4
=400N
Weight of the person is 400 N.
Mass of the person (m)
=
g
W
=
10
400
=40kg
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