a bicycle wheel has 77cm in diameter and makes revolution per second .find the speed of the bicycle in m/s
for each revolution, it goes PI*diameter on the ground.
speed: PI*diameter/time
time is one second.
speed: PI*.77 m/s
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To find the speed of the bicycle in m/s, we can use the formula:
speed = circumference of the wheel x number of revolutions per second
First, let's calculate the circumference of the wheel:
Circumference = π x diameter
Given that the diameter of the wheel is 77 cm, we can plug in the values and calculate the circumference:
Circumference = 3.14 x 77 cm
Next, we need to convert the circumference from centimeters to meters since we want the answer in m/s. Since 1 meter = 100 centimeters, we can divide the circumference by 100:
Circumference = (3.14 x 77 cm) / 100
Now, let's calculate the number of meters the wheel covers in 1 revolution:
1 revolution = circumference of the wheel
To convert this into meters, we divide the circumference by 100:
1 revolution = (3.14 x 77 cm) / 100
Finally, to find the speed of the bicycle in m/s, we multiply the number of revolutions per second with the distance covered in 1 revolution:
speed = (3.14 x 77 cm / 100) x (number of revolutions per second)
Plug in the number of revolutions per second, and you will have the speed of the bicycle in m/s.