How many timed a wheel of radius 28cm must rotate to go 352 m ( take p...
Calculation:
Given:
Radius of the wheel (r) = 28 cm
Distance to be covered (d) = 352 m
Value of π (pi) = 22/7
Conversion of units:
To make sure the units are consistent, we need to convert the distance from meters to centimeters.
1 meter = 100 centimeters
Therefore, the distance to be covered in centimeters (D) = 352 * 100 = 35,200 cm
Circumference of the wheel:
The circumference of a wheel can be calculated using the formula:
Circumference = 2 * π * r
Substituting the given values:
Circumference = 2 * (22/7) * 28 cm
Circumference = 2 * (22 * 4) cm
Circumference = 2 * 88 cm
Circumference = 176 cm
Number of rotations:
To find the number of rotations required to cover a certain distance, we can divide the distance by the circumference of the wheel.
Number of rotations = Distance / Circumference
Substituting the given values:
Number of rotations = 35,200 cm / 176 cm
Number of rotations = 200
Therefore, the wheel must rotate 200 times to cover a distance of 352 meters.
Summary:
To find the number of times a wheel with a radius of 28 cm must rotate to cover a distance of 352 meters, we follow these steps:
1. Convert the distance from meters to centimeters.
2. Calculate the circumference of the wheel using the formula 2 * π * r.
3. Divide the distance by the circumference to find the number of rotations required.
4. The wheel must rotate 200 times to cover a distance of 352 meters.
How many timed a wheel of radius 28cm must rotate to go 352 m ( take p...
Circumference of circle =2× 22/7 ×28
176cm
rotation to go =352/176
200 times
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