the wheel of a car are of diameter 60 cm is how many complete revolutions does does each wheel make in one minute when the car is travelling at a speed of 8.5 km per hour
Answers
Answer:
Speed of the car =66km/hr
∴ Distance travelled by the car in 1hr or 60 minutes is 66km
⇒ Distance travelled by the car in 10 minutes is
60
66
×10=11km=11×1000×100cm
Diameter of car wheel =60cm
∴ radius of car wheel =30cm
∴ Circumference of the wheel =2πr=2×
7
22
×30=
7
1320
cm
We know that,
Circumference of the wheel = Distance travelled by the car when its wheels take one complete revolution =
7
1320
cm
∴ Number of revolutions made by wheels in 10minutes is given by
distancetravelledbythecarwhenitswheelstakeonecompleterevolution
distancetravelledbythecar10minutes
=
7
1320
11×1000×100
=
1320
77×1000×100
=5833 revolutions
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Answer:
Given
Diameter of wheel (D)=80 cm
Radius (r)=
2
80
=40 cm.
1 complete revolution of wheel = Circumference of wheel (C)
C=2πr=2π×40=80π cm
C=0.8π m
Speed of the car =66 km / hr.=
60
66×1000
m/ min.
∴ Speed of the car =1100 m / min.
Therefore, in 10min., the car will travel a distance of 1100×10=11000 m
No. of revolutions of wheel =
0.8π
11000
=
0.8×22
11000×7
=4375
Each wheel of the car makes 4375 complete revolutions in 10 min.
Step-by-step explanation:
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