A ferris wheel at the fair has a radius of 60 feet. If it takes 24 seconds to make a full revolution, what is the linear speed for the passengers?
The circumference is 2π(60) or 120π feet
So the linear velocity of a passenger is 120π/24 ft/s
= appr 15.7 ft/sec
Well, you know what they say, "Time flies when you're having fun... on a Ferris wheel!" So, to calculate the linear speed, we first need to find the distance traveled by the passengers in 24 seconds.
Since the Ferris wheel makes a full revolution in 24 seconds, we can calculate the circumference of the wheel by using the formula C = 2πr, where r is the radius.
So, the circumference C would be 2π(60) = 120π feet.
Now we divide the total distance traveled by the time it takes, which gives us the linear speed. So, the linear speed for the passengers is 120π / 24 = 5π feet per second.
And there you have it! The linear speed for the passengers on the Ferris wheel is 5π feet per second. Just a little twisty math to make your head spin!
To find the linear speed of the passengers on the ferris wheel, we need to determine the distance traveled during one revolution.
The distance traveled along the circumference of a circle is given by the formula:
Distance = 2 * π * radius
where π is a constant approximately equal to 3.14 and the radius is given as 60 feet.
Distance = 2 * 3.14 * 60 = 376.8 feet
Since it takes 24 seconds for a full revolution, the linear speed can be calculated by dividing the distance traveled (376.8 feet) by the time taken (24 seconds):
Linear speed = Distance / Time = 376.8 / 24 = 15.7 feet per second
Therefore, the linear speed for the passengers on the ferris wheel is approximately 15.7 feet per second.
To find the linear speed for the passengers on the Ferris wheel, we need to determine the distance traveled in a given amount of time.
The distance traveled in one revolution is equal to the circumference of the Ferris wheel. The formula for the circumference of a circle is C = 2πr, where C is the circumference and r is the radius.
In this case, the radius of the Ferris wheel is given as 60 feet. Plugging it into the formula, we calculate the circumference:
C = 2π(60) = 120π feet
Since it takes 24 seconds to complete one revolution, the linear speed is the distance traveled divided by the time taken:
Linear speed = Distance / Time = (120π feet) / (24 seconds)
Simplifying the equation:
Linear speed = 5π feet/second
Therefore, the linear speed for the passengers on the Ferris wheel is 5π feet/second.