Tge diameter of a trundle wgeel is 45 cm. If tge distance to be covered is 0.7 km, how many times has the wheel be rotated?
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To determine how many times the wheel has to be rotated, we need to find the circumference of the wheel. The formula for the circumference of a wheel is given by:
C = π * d
where C is the circumference and d is the diameter of the wheel.
Given that the diameter of the trundle wheel is 45 cm, we can calculate the circumference:
C = π * 45 cm
Now, we need to convert the distance to be covered from kilometers to centimeters. We know that 1 kilometer is equal to 100,000 centimeters. Therefore:
0.7 km = 0.7 * 100,000 cm = 70,000 cm
Now, divide the distance to be covered by the circumference of the wheel to find the number of rotations:
Number of rotations = distance / circumference
= 70,000 cm / (π * 45 cm)
Calculating this, we get:
Number of rotations ≈ 4979.0849
Therefore, the wheel needs to be rotated approximately 4979 times to cover a distance of 0.7 km.
To find out how many times the wheel has rotated, we need to calculate the circumference of the trundle wheel and divide it by the distance to be covered.
The circumference of a circle can be found using the formula: C = π * d, where C is the circumference and d is the diameter.
Given that the diameter of the trundle wheel is 45 cm, we can plug it into the formula to find the circumference:
C = π * 45 cm = 141.37 cm
Since we're given the distance to be covered in kilometers, we need to convert the circumference from centimeters to kilometers:
1 km = 100,000 cm
So, the circumference in kilometers is: 141.37 cm ÷ 100,000 cm/km = 0.0014137 km
Now, to find out how many times the wheel has rotated, we divide the distance to be covered by the circumference:
Number of rotations = Distance ÷ Circumference
Number of rotations = 0.7 km ÷ 0.0014137 km
Number of rotations ≈ 495.1
Therefore, the trundle wheel would have to rotate approximately 495.1 times to cover a distance of 0.7 km.