Find the linear speed of a point that moves with constant speed in a circular motion if the point travels along the circle an arc length = 2178/23 kilometers in time t=11 seconds?
2178/23 / 11
To find the linear speed of a point that moves with constant speed in a circular motion, you can use the formula:
Linear Speed = Arc Length / Time
In this case, the arc length is given as 2178/23 kilometers and the time is given as 11 seconds.
1. First, substitute the given values into the formula:
Linear Speed = (2178/23) km / 11 s
2. To simplify the calculation, you can convert kilometers to meters:
Linear Speed = (2178/23) km * 1000 m/km / 11 s
3. Now, solve the equation:
Linear Speed = (2178 * 1000) m / (11 * 23) s
Linear Speed = 2178000 m / 253 s
4. Finally, divide the distance by the time to get the linear speed:
Linear Speed ≈ 8603.575 m/s
Therefore, the linear speed of the point moving along the circular motion is approximately 8603.575 meters per second.