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A boy is cycling such that the wheel of the cycle are making 140 revolution per minute . If diameter of the wheel is 60 cm , calculate the speed in km per hour in which the boy is cycling.?
Most Upvoted Answer
A boy is cycling such that the wheel of the cycle are making 140 revol...
By unitary method
140 revolution takes 1 min
1 revolution takes 1 min /140
=60/140
=3/7 sec
now,radius =d/2
=60/2 =30cm
=0.3m
speed of cycle in uniform circular motion=2πr/t
=2(22/7)*(3/10)/(3/7)
=22/5
=4.4m/s
now to convert in km/h multiply by 18/5
=44/10*18/5
=15.84 km/h (approx)
140 revolution takes 1 min
1 revolution takes 1 min /140
=60/140
=3/7 sec
now,radius =d/2
=60/2 =30cm
=0.3m
speed of cycle in uniform circular motion=2πr/t
=2(22/7)*(3/10)/(3/7)
=22/5
=4.4m/s
now to convert in km/h multiply by 18/5
=44/10*18/5
=15.84 km/h (approx)
Community Answer
A boy is cycling such that the wheel of the cycle are making 140 revol...
Calculation of Speed
To calculate the speed at which the boy is cycling, we need to convert the given information into the appropriate units and apply the relevant formulas.
Given:
- Number of revolutions per minute = 140
- Diameter of the wheel = 60 cm
Converting Units
The diameter of the wheel is given in centimeters, but it is more convenient to work with the measurements in meters for this calculation. Therefore, we need to convert the diameter from centimeters to meters.
- Diameter of the wheel = 60 cm = 0.6 meters
Calculating Circumference
The circumference of the wheel can be calculated using the formula:
Circumference = π * diameter
In this case, the diameter of the wheel is 0.6 meters, so the circumference can be calculated as:
Circumference = π * 0.6
Calculating Distance Traveled
The distance traveled by the cycle in one revolution is equal to the circumference of the wheel. Therefore, the distance traveled in one minute can be calculated as follows:
Distance per minute = Circumference * Number of revolutions per minute
In this case, the number of revolutions per minute is 140, so the distance traveled in one minute can be calculated as:
Distance per minute = Circumference * 140
Converting to Kilometers per Hour
To convert the distance traveled in one minute to kilometers per hour, we need to multiply it by the appropriate conversion factor. There are 60 minutes in an hour and 1000 meters in a kilometer.
Therefore, the speed in kilometers per hour can be calculated as:
Speed (km/h) = (Distance per minute * 60) / 1000
Substituting the previously calculated value of the distance per minute, we get:
Speed (km/h) = (Circumference * 140 * 60) / 1000
Calculating the Final Answer
Now, we can plug in the value of the circumference and calculate the final answer.
Speed (km/h) = (π * 0.6 * 140 * 60) / 1000
Simplifying this expression will give us the speed at which the boy is cycling in kilometers per hour.
To calculate the speed at which the boy is cycling, we need to convert the given information into the appropriate units and apply the relevant formulas.
Given:
- Number of revolutions per minute = 140
- Diameter of the wheel = 60 cm
Converting Units
The diameter of the wheel is given in centimeters, but it is more convenient to work with the measurements in meters for this calculation. Therefore, we need to convert the diameter from centimeters to meters.
- Diameter of the wheel = 60 cm = 0.6 meters
Calculating Circumference
The circumference of the wheel can be calculated using the formula:
Circumference = π * diameter
In this case, the diameter of the wheel is 0.6 meters, so the circumference can be calculated as:
Circumference = π * 0.6
Calculating Distance Traveled
The distance traveled by the cycle in one revolution is equal to the circumference of the wheel. Therefore, the distance traveled in one minute can be calculated as follows:
Distance per minute = Circumference * Number of revolutions per minute
In this case, the number of revolutions per minute is 140, so the distance traveled in one minute can be calculated as:
Distance per minute = Circumference * 140
Converting to Kilometers per Hour
To convert the distance traveled in one minute to kilometers per hour, we need to multiply it by the appropriate conversion factor. There are 60 minutes in an hour and 1000 meters in a kilometer.
Therefore, the speed in kilometers per hour can be calculated as:
Speed (km/h) = (Distance per minute * 60) / 1000
Substituting the previously calculated value of the distance per minute, we get:
Speed (km/h) = (Circumference * 140 * 60) / 1000
Calculating the Final Answer
Now, we can plug in the value of the circumference and calculate the final answer.
Speed (km/h) = (π * 0.6 * 140 * 60) / 1000
Simplifying this expression will give us the speed at which the boy is cycling in kilometers per hour.
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A boy is cycling such that the wheel of the cycle are making 140 revolution per minute . If diameter of the wheel is 60 cm , calculate the speed in km per hour in which the boy is cycling.?
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A boy is cycling such that the wheel of the cycle are making 140 revolution per minute . If diameter of the wheel is 60 cm , calculate the speed in km per hour in which the boy is cycling.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A boy is cycling such that the wheel of the cycle are making 140 revolution per minute . If diameter of the wheel is 60 cm , calculate the speed in km per hour in which the boy is cycling.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy is cycling such that the wheel of the cycle are making 140 revolution per minute . If diameter of the wheel is 60 cm , calculate the speed in km per hour in which the boy is cycling.?.
A boy is cycling such that the wheel of the cycle are making 140 revolution per minute . If diameter of the wheel is 60 cm , calculate the speed in km per hour in which the boy is cycling.? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about A boy is cycling such that the wheel of the cycle are making 140 revolution per minute . If diameter of the wheel is 60 cm , calculate the speed in km per hour in which the boy is cycling.? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A boy is cycling such that the wheel of the cycle are making 140 revolution per minute . If diameter of the wheel is 60 cm , calculate the speed in km per hour in which the boy is cycling.?.
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