At the amusement park, you decide to ride the Ferris wheel, which has a maxmum height of 80 meters and a diameter of 40 meters. It takes the wheel seven minutes to make one revolution. If you start your ride at the midline and the ferris wheel rotates counter clockwise, how many seconds will it take for your seat to reach a height of 60 meters? Round the answer to the nearest second.
For this questions, i got 10 seconds. Is this correct? I think I may gotten it wrong.
To find the number of seconds it will take for your seat to reach a height of 60 meters, we can first calculate the time it takes for the wheel to make half a revolution and then use that to find the time it takes for your seat to reach 60 meters.
Since the wheel takes 7 minutes to make one full revolution, it will take half of that time to reach a height of 60 meters.
7 minutes ÷ 2 = 3.5 minutes.
Next, we will convert the time from minutes to seconds.
3.5 minutes × 60 seconds/minute = 210 seconds.
Therefore, it will take approximately 210 seconds for your seat to reach a height of 60 meters.
To determine the time it takes for your seat to reach a certain height on the Ferris wheel, we need to first calculate the time it takes for the wheel to complete one revolution.
Given:
- The Ferris wheel has a maximum height of 80 meters.
- The Ferris wheel has a diameter of 40 meters.
- The Ferris wheel takes seven minutes to make one revolution.
First, let's calculate the circumference of the Ferris wheel:
Circumference = π * diameter
Circumference = π * 40 meters
Circumference ≈ 125.66 meters
Now, to determine your seat's rate of travel, we divide the circumference by the time taken for one revolution:
Rate of travel = Circumference / Time taken for one revolution
Rate of travel ≈ 125.66 meters / 7 minutes
Next, we convert the time taken for one revolution from minutes to seconds:
Time taken for one revolution = 7 minutes * 60 seconds/minute
Time taken for one revolution = 420 seconds
Now we can calculate the rate of travel:
Rate of travel ≈ 125.66 meters / 420 seconds
Rate of travel ≈ 0.299 meters/second
To find the time it takes for your seat to reach a height of 60 meters, divide the desired height by the rate of travel:
Time = Desired height / Rate of travel
Time = 60 meters / 0.299 meters/second
Now, let's calculate the time:
Time ≈ 200.67 seconds
Rounding this value to the nearest second, we get approximately 201 seconds.
Therefore, the correct answer is 201 seconds, not 10 seconds.
So 210 seconds?
since the seat started at 60, it takes 1/2 turn to get back around to that height on the other side.
That's 3.5 minutes