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Diameter of a car wheel is 21 cm. A car driver moving at the speed of 66 km/hr takes 36 seconds to reach a destination. How many revolutions will the wheel make during the journey?
- a)1800
- b)1500
- c)1200
- d)1000
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Diameter of a car wheel is 21 cm. A car driver moving at the speed of ...
Given, speed of the car = 66 km/h and diameter of wheel = 21 cm
So, radius of wheel (r) = 21/2 = 10.5 cm
As we know, Distance = speed × time
Distance covered by car in 36 sec = 66 × 5/18 × 36 = 660 meter
As we know, circumference of circle = 2πr
Thus, Circumference of wheel = 2 × 22/7 × 21/2 = 66 cm
∴ No of revolutions = distance/(circumference of wheel) = (660 × 100)/66 = 1000
Most Upvoted Answer
Diameter of a car wheel is 21 cm. A car driver moving at the speed of ...
Solution:
Given:
Diameter of the car wheel = 21 cm
Speed of the car = 66 km/hr
Time taken to reach the destination = 36 seconds
To find:
The number of revolutions made by the wheel during the journey.
Formula:
Distance covered = Speed × Time
Calculation:
1. Convert the diameter of the wheel from centimeters to meters.
Diameter of the wheel = 21 cm = 0.21 m (1 cm = 0.01 m)
2. Convert the speed from kilometers per hour to meters per second.
Speed of the car = 66 km/hr = 66 × (1000/3600) m/s = 18.33 m/s (1 km = 1000 m, 1 hr = 3600 s)
3. Calculate the distance covered by the car.
Distance covered = Speed × Time
= 18.33 m/s × 36 s
= 659.88 m
4. Calculate the circumference of the wheel.
Circumference = π × Diameter
= 3.14 × 0.21 m
= 0.6594 m
5. Calculate the number of revolutions made by the wheel.
Number of revolutions = Distance covered / Circumference
= 659.88 m / 0.6594 m
= 1000
Therefore, the number of revolutions made by the wheel during the journey is 1000.
Given:
Diameter of the car wheel = 21 cm
Speed of the car = 66 km/hr
Time taken to reach the destination = 36 seconds
To find:
The number of revolutions made by the wheel during the journey.
Formula:
Distance covered = Speed × Time
Calculation:
1. Convert the diameter of the wheel from centimeters to meters.
Diameter of the wheel = 21 cm = 0.21 m (1 cm = 0.01 m)
2. Convert the speed from kilometers per hour to meters per second.
Speed of the car = 66 km/hr = 66 × (1000/3600) m/s = 18.33 m/s (1 km = 1000 m, 1 hr = 3600 s)
3. Calculate the distance covered by the car.
Distance covered = Speed × Time
= 18.33 m/s × 36 s
= 659.88 m
4. Calculate the circumference of the wheel.
Circumference = π × Diameter
= 3.14 × 0.21 m
= 0.6594 m
5. Calculate the number of revolutions made by the wheel.
Number of revolutions = Distance covered / Circumference
= 659.88 m / 0.6594 m
= 1000
Therefore, the number of revolutions made by the wheel during the journey is 1000.
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Diameter of a car wheel is 21 cm. A car driver moving at the speed of 66 km/hr takes 36 seconds to reach a destination. How many revolutions will the wheel make during the journey?a)1800b)1500c)1200d)1000Correct answer is option 'D'. Can you explain this answer?
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