What is the magnitude of the displacement of a car that travels half a lap along a circle that has a radius of 170m ?
displacement? What is the diameter of the circle?
To find the magnitude of the displacement of a car that travels half a lap along a circle with a radius of 170m, we can use the formula for the circumference of a circle:
Circumference = 2πr
where r is the radius of the circle.
In this case, since the car travels half a lap, it travels half the circumference of the circle. So we need to find half of the circumference by using the formula:
Half Circumference = 0.5 * Circumference
Substituting the value of the radius into the formula, we get:
Half Circumference = 0.5 * (2π * 170)
Now we can calculate the magnitude of the displacement by multiplying the half circumference with the ratio of the length of an arc to the circumference:
Magnitude of Displacement = Half Circumference * (1 / 2π)
Substituting the value of the half circumference, we get:
Magnitude of Displacement = 0.5 * (2π * 170) * (1 / 2π)
Simplifying this expression, we find:
Magnitude of Displacement = (170 * π) * (1 / 2)
So the magnitude of the displacement of a car that travels half a lap along a circle with a radius of 170m is 85π meters.