calculate how far along the ground would the bicycle move if one of the wheels had an angular displacement magnitude of 500rev
must know radius R
C = 2 pi R
so 500 * 2 pi R
can you make it more clear the answer
Every turn you go one circumference, 2 pi R
so how much is the radius
To calculate the distance the bicycle would move if one of the wheels had an angular displacement magnitude of 500 revolutions, we need to know the radius of the wheel. Let's assume the radius of the wheel is given as r.
The formula to calculate the distance covered for an object rotating around a fixed point is:
Distance = Circumference of the circle formed by the rotating object × Number of revolutions
In this case, the object is a wheel, so the circumference of the circle formed by the wheel is given by:
Circumference = 2 × π × radius
Now we can plug in the values:
Circumference = 2 × 3.14 × r
Distance = Circumference × Number of revolutions
Given that the angular displacement magnitude is 500 revolutions, we can calculate the distance covered by substituting the value:
Distance = (2 × 3.14 × r) × 500
Please provide the value of the radius (r) so that we can calculate the distance covered by the bicycle.