the Ferris wheel has a diameter of 150m and takes 30min to make a full circle. Determine the speed of ride in m/s
Circumference = pi*D = 3.14 * 150 = 471.2 m.
V = 471.2m/30min * 1min/60s = m/s.
To determine the speed of the Ferris wheel ride, we need to find the circumference of the wheel first. The circumference of a circle is calculated using the formula:
Circumference = π * diameter
Given that the diameter of the Ferris wheel is 150m, we can substitute this value into the formula:
Circumference = π * 150m
To find the speed of the ride in m/s, we need to divide the circumference by the time it takes to make a full circle. The speed formula is:
Speed = Distance / Time
In this case, the distance is the circumference and the time is given as 30 minutes. However, we need to convert the time to seconds since the speed units are in m/s.
First, we convert 30 minutes to seconds by multiplying by 60 (seconds in a minute):
Time (in seconds) = 30 min * 60 sec/min
Now, we can substitute the values into the formula:
Speed = Circumference / Time (in seconds)
Speed = (π * 150m) / (30 min * 60 sec/min)
Calculating this expression will give us the speed of the Ferris wheel ride in m/s.
Note: The value of π (pi) is approximately 3.14159.