How many revolutions a second are made by each wheel of an electronic toy car travelling 132 metres per minute , if the diameter of each wheel is 7 cm
the perimeter of the wheel is 7π cm = .07π = .022 m
So,
132 m/min * 1min/60s * 1rev/.022m = 100 rev/s
To find the number of revolutions per second made by each wheel of the electronic toy car, we need to follow these steps:
Step 1: Find the distance traveled in meters per second.
Since the given distance is in meters per minute, we need to convert it to meters per second. There are 60 seconds in a minute, so we can divide the distance by 60 to get the speed in meters per second.
132 meters/minute ÷ 60 = 2.2 meters/second
Step 2: Calculate the circumference of each wheel.
The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Since the diameter of each wheel is 7 cm, we can calculate the circumference:
C = π × 7 cm
Step 3: Convert the circumference to meters.
To find the circumference in meters, we need to convert the centimeters to meters. Since there are 100 centimeters in a meter, we can divide the circumference by 100:
C = (π × 7 cm) / 100
Step 4: Calculate the number of revolutions per second.
The number of revolutions per second can be found by dividing the distance traveled in meters per second by the circumference of each wheel in meters:
Number of revolutions per second = Distance traveled per second / Circumference of each wheel
Substituting the values, we have:
Number of revolutions per second = 2.2 meters/second / [(π × 7 cm) / 100]
Simplifying the equation, we have:
Number of revolutions per second = 220 / (π × 7)
Using the value of π ≈ 3.14, we can calculate the answer:
Number of revolutions per second ≈ 9.96 revolutions per second
Therefore, each wheel of the electronic toy car would make approximately 9.96 revolutions per second when traveling 132 meters per minute, given that the diameter of each wheel is 7 cm.