pendulum ride physics
For the Gyro Swing Loke (figure 1), with a length L  =  24 m, the expected period for small angles becomes T  =  9.8 s. For 120^{\circ}, the theoretical expressions give a 34 \% increase in the pendulum period, giving T(120^{\circ})=13.2 s for Loke.

The biomechanical effects on the body are determined by the forces along these axes [12].

When the circle is at the lowest point, this additional acceleration is upwards on one side and downwards on the other, requiring a larger (or smaller) 'vertical force' from the ride.

Her research background is computational atomic physics, but her more recent work has focused on various aspects of physics and science education. All of the rides are built with the laws of physics in mind, and it is playing with these laws that makes these rides so fun and scary. This insight is needed to understand the accelerometer data collected in pendula or roller coasters.

Pendulum rides are amusement rides based on the motion of a fixed pendulum. But, do you know how important it is to boost confidence in your child before auditions?

If you will know the physics behind your favorite ride, you will enjoy the ride more and can impart your knowledge to your friends.

Figure 9.

2. Accelerometer data for the pendulum ride Uppswinget (figure 3), showing the vertical (z) component of the force from the ride on the rider divided by mg. So what forces act upon a pendulum bob? An amusement park is full of examples that can be made into challenging problems for students, combining mathematical modelling with video analysis, as well as measurements in the rides. However, the expressions for acceleration and velocities hold for a distance L^2=I_{\rm axis}/m, where Iaxis is the moment of inertia with respect to the rotation axis of the pendulum and \sqrt{I_{\rm axis}/m} is the 'radius of gyration'. The views/information presented on this page is solely of the poster/author and in no way the company running this website is responsible for the same. The y axis points to the left of the rider, along the tangent of the circle. One end of the arm is fitted with a passenger-carrying gondola, while the other is attached to the axle. Earlier in this lesson we learned that an object that is vibrating is acted upon by a restoring force. © 2018 IOP Publishing Ltd

In earlier work, we discussed how the Coriolis effect can be observed even in small children's carousels—or even better in a slowly rotating observation tower—by bringing a small, soft object on a string, as a miniature 'Foucault pendulum' [2–4]. Conny Modig is high school teacher at Gymnasium Skövde Västerhöjd. (The direction of rotation changes between different rides.)

With a centripetal acceleration of a_{\rm c}=3g at the bottom and a pendulum length L  =  24 m, the velocity of the centre of the circle of Loke can be estimated to v=\sqrt{3Lg}\approx 27 m s−1.

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For riders in the highest position of the circle this leads to an additional acceleration in the z ('vertical') direction with the size | r \ddot \theta | = |- r g \sin \theta /L |.

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Figure 7.

Physics in Pendulum Ride.

At the maximum angle \theta_0 the force on the rider is mg \cos \theta_0 towards the rotation axis of the pendulum and the acceleration is purely tangential, a=g \sin \theta_0. The mathematical treatment of a pendulum typically focuses on the angle θ, angular velocity, \Omega=\dot \theta and angular acceleration, \dot\Omega = \ddot \theta, giving the relation. The interpretation of the data from smartphones offers good practice in identifying coordinate axes [7–9], useful also in interpreting data from other acceleration and rotation sensors commonly used in high school physics classes [10, 11]. The pendulum motion leads also to a rotation {\bf \Omega} = \Omega e_X of the coordinate system for the circle, resulting in an additional acceleration.


If you will know the physics behind your favorite ride, you will enjoy the ride more and can impart your knowledge to your friends.


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