Fayce Slift found that it took her 132 steps to pace off 100.0 m. She was studying the flying trapeze. She noticed that when the ride was running that the chairs swung outward. She found that it took her 14.5 steps to go from the outside of the swing path on one side to the outside of the others side of the swing path. She found out that the ride did 12.0 revolution in 60.0 sec.
Calculate the speed of the swings.
To calculate the speed of the swings, we need to find the distance covered in one revolution and then divide it by the time taken for one revolution.
First, let's find the distance covered in one revolution by Fayce Slift. We know that it took her 14.5 steps to go from the outside of the swing path on one side to the outside of the other side. Since she took a total of 132 steps to pace off 100.0 m, we can calculate the distance covered in one step:
Distance per step = 100.0 m / 132 steps
Now, let's calculate the distance covered in one revolution:
Distance per revolution = Distance per step × 14.5 steps
Next, we need to calculate the time taken for one revolution. We are given that the ride did 12.0 revolutions in 60.0 seconds, so the time taken for one revolution is:
Time per revolution = 60.0 sec / 12.0 revolutions
Finally, we can calculate the speed of the swings by dividing the distance covered in one revolution by the time taken for one revolution:
Speed of swings = Distance per revolution / Time per revolution
Now, let's substitute the values and calculate the speed:
Distance per step = 100.0 m / 132 steps = 0.7576 m/step (rounded to four decimal places)
Distance per revolution = 0.7576 m/step × 14.5 steps = 10.976 m (rounded to three decimal places)
Time per revolution = 60.0 sec / 12.0 revolutions = 5.000 sec
Speed of swings = 10.976 m / 5.000 sec = 2.1952 m/sec (rounded to four decimal places)
Therefore, the speed of the swings is approximately 2.1952 m/sec.