An energetic father stands at the summit of a conical hill as he spins his 24 kg child around on a 5.5 kg cart with a 2.3-m-long rope. The sides of the hill are inclined at 22 ∘ to the horizontal. He keeps the rope parallel to the ground, and friction is negligible. What rope tension will allow the cart to spin with the 13 rpm?
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.
An energetic father stands at the summit of a conical hill as he spins his 24 kg child around on a 5.5 kg cart with a 2.3-m-long rope. The sides of the hill are inclined at 22 ∘ to the horizontal. He keeps the rope parallel to the ground, and friction is negligible. What rope tension will allow the cart to spin with the 13 rpm?
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