My answer is Pi/50 ms-1. My solution uses geometry rather than calculus though. First, the cirumference of the circle = 30(Pi)m, and the time for one rotation is 120s. Therefore the speed of the rider perpendicular to the 15m radius is (30(pi))/120 = (pi)/40 ms-1 We need the velocity in the vertical direction, where the velocity along the tangent to the circle is (pi)/40. Drawing the triangle which involves this tangent, and the vertical and horizontal components of the velocity, the law of similar triangles says that the angle to which the vertical velocity is the opposite is the same as that formed by the 15m radius, and the vertical line from the diameter of the wheel which is parallel to the ground, which will be 24-15=9m long. This angle is therefore cos-1(9/15). Moving now to the triangle of velocity components, where x is the required vertical velocity, we have: x = sin(cos-1(9/15))*((pi)/40) = (4/5)*(pi)/40 =(pi)/50 The above answer is off by an order of magnitude, since 30(pi)/120 = (pi)/4 m/s The correct answer is (4/5)*(pi)/4 = (pi)/5 m/s.
it takes 7 minutes
If the rim doesn't slip on the ground, then the distance for each revolution is (diameter x pi).2.5 x pi = 7.854 (rounded)
The August Decrees in the French Revolution were important in establishing the new order of the constitutional government. They prepared the ground for the new constitution and its decree decentralised power.
It means the person stand on the ground and did not say anything?
a Rebus
47
a rotating column of air that extends from a thunderstorm to the ground is a Tornado
amplitude of a Ferris wheel represents the distance from the axis of rotation of the wheel to the maximum or minimum height of the wheel above the ground.
It is a tornado.
A rotating cone shaped column of air extending downward from a cloud when it touches the ground it is called a tornado
funnel
The difference in feet between the minimum and maximum heights of a car on a Ferris wheel will be the diameter of the Ferris wheel. You might want to add the height of a car above ground at its lowest point to be technically correct.
Typically, yes. As the Ferris wheel spins down back toward the ground, you will usually experience the sensation commonly referred to as your stomach dropping. However, the sensation in this case is relatively mild and very few people experience motion sickness on a Ferris wheel.
the ground
40ft
The Tri- state tornado was on the ground for about 3 and a half hours, or approximately 210 minutes.
tornado, as in the image above.