simon goes to the playground to play on the swings. The length of each swing is 1.75m. What is the distance travelled on one swing, from max height to the next max height if the central angle of the swing is 1.4 rad?
arc length s = rθ
plug and chug
To find the distance traveled on one swing from the maximum height to the next maximum height, we need to calculate the arc length of the swing.
The formula to find the arc length is given by:
Arc Length = Radius × Central Angle
In this case, the central angle is given as 1.4 radians, and we need to find the arc length.
Now, the swing is represented by a circular path, and the length of each swing is given as 1.75m. Therefore, the radius of the swing is half the length, which is 1.75m/2 = 0.875m.
Using the formula for arc length, we can calculate:
Arc Length = 0.875m × 1.4 radians
Simply multiply the radius (0.875m) by the central angle (1.4 radians) to find the arc length.
Arc Length = 0.875m × 1.4 = 1.225m
Therefore, the distance traveled on one swing, from the maximum height to the next maximum height, is 1.225 meters.