The “Screaming Swing” is a carnival ride that is -not surprisingly- a giant swing. It’s actually two swings moving in opposite directions. At the bottom of its arc, a rider in one swing is moving at 30 m/s with respect to the ground in a 50-m diameter circle. The rider in the other swing is moving in a similar circle at the same speed, but in the exact opposite direction. What is the acceleration in m/s^2 that the riders experience?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
The “Screaming Swing” is a carnival ride that is -not surprisingly- a giant swing. It’s actually two swings moving in opposite directions. At the bottom of its arc, a rider in one swing is moving at 30 m/s with respect to the ground in a 50-m diameter circle. The rider in the other swing is moving in a similar circle at the same speed, but in the exact opposite direction.
What is the acceleration in m/s^2 that the riders experience?
Given Data:
- The speed is v=30 m/s
- The diameter is d= 50 m
The radius of the circular motion of rider is R=d/2 =25 m.
The acceleration of the rider is the centripetal acceleration.
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