"A DIAMETER OF THE WHEEL OF A CAR IS 84 CM AND THE SPEED OF A CAR IS 72KM/H. THE NO. OF REVOLUTIONS MADE BY THE WHEEL IN 11 MINUTES IS."IS THIS QUESTION EXAMPLE OF CIRCLE OR CYLINDER?
The question is an example of uniform circular motion -> circle.
kph to mpm (meters per minute): 72kph -> 1200 m/min
cm to m: 84 cm -> 0.84m
circumference of the wheel = pi. diameter = 3.14 * 0.84m = 2.6376m
length of 1 revolution = circumference = 2.6376m
in 11 min: number of revolutions = 1200/2.6376 = 454.959m/min
This question is an example of a circle, as it involves the measurement of the diameter of a wheel. A cylinder is a three-dimensional shape with circular bases, such as a drinking glass or a can.
This question is an example of a circle, not a cylinder. In this question, we are given the diameter of a wheel and the speed of a car, and we need to calculate the number of revolutions made by the wheel in a specified time.
To solve this question, we can follow these steps:
1. First, we need to convert the diameter of the wheel from centimeters to meters. Since 1 meter is equal to 100 centimeters, the diameter in meters would be 84 cm / 100 = 0.84 meters.
2. Next, we need to calculate the circumference of the wheel. The circumference of a circle can be found using the formula: circumference = π * diameter. Thus, the circumference of the wheel would be 3.14 * 0.84 = 2.6456 meters.
3. Now, we have the distance covered by the wheel in one revolution, which is equal to the circumference of the wheel.
4. To find the number of revolutions made by the wheel in 11 minutes, we need to convert the speed of the car from km/h to meters/minute. Since 1 km is equal to 1000 meters and 1 hour is equal to 60 minutes, the speed in meters/minute would be 72 km/h * 1000 m/km / 60 min/h = 1200 meters/minute.
5. Finally, we can calculate the number of revolutions made by the wheel in 11 minutes by dividing the distance covered by the wheel in 11 minutes by the distance covered in one revolution. So, the number of revolutions would be 1200 meters/minute * 11 minutes / 2.6456 meters/revolution = 5162.71 revolutions.
Therefore, the wheel of the car would make approximately 5163 revolutions in 11 minutes.