Question

An object is traveling around a circle with a radius of 14 meters. If in 40 seconds, a central angle of (1/7) radian is swept out, what are the linear and angular speeds of the object?

Answer 1

The linear speed of the object is 0.05 m/s and the angular speed is (1/7) radian / 40 seconds.

Step-by-step explanation:

To find the linear and angular speeds of the object, we can use the formula:

angular speed = linear speed / radius

Given that the radius is 14 meters and the central angle is (1/7) radian, we can calculate the linear speed using the formula:

angular speed = (1/7) radian / 40 seconds

Converting the linear speed to meters per second by multiplying it with the radius:

linear speed = (1/7) radian / 40 seconds * 14 meters = 0.05 m/s

So, the linear speed of the object is 0.05 m/s and the angular speed is (1/7) radian / 40 seconds.