A Ferris wheel is programmed to always rotate with a constant angular acceleration of α = 0.100 rad/s2. A gondola (the one painted green in the figure) starts its motion from rest at the top of the wheel. (a) Find the time it would take for the above gondola to be completely horizontal and to the right, as shown in the figure. (b) Calculate the angular velocity at the instant of time in the previous paragraph. (c) If the radius of the wheel is 100 m, calculate the radial and tangential acceleration vectors at the same instant as in the previous sections.
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
A Ferris wheel is programmed to always rotate with a constant
(a) Find the time it would take for the above gondola to be completely horizontal and to the right, as shown in the figure.
(b) Calculate the
(c) If the radius of the wheel is 100 m, calculate the radial and tangential acceleration vectors at the same instant as in the previous sections.
Use the unit vectors to express your answer.
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