All Questions
Tagged with rotational-kinematics coriolis-effect
11
questions
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How can we show that $((\vec v · \vec r) \vec r )'$ corresponds to Coriolis force?
We have:
Position as $\vec r$
Velocity as $\vec v=(\vec r)'$
Acceleration as $\vec a=(\vec v)'$
Angular velocity as $\vec \omega = \frac{\vec r × \vec v}{r^2}$
Angular acceleration as $\vec \alpha = ...
- 261
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2
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Vertical coriolis effect
Imagine the Earth to be an extended body, spinning about an axis. Suppose we throw a ball vertically upwards. As soon as the ball leaves our hand, it starts traveling upward with some velocity and ...
- 1,791
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Direction of deflection due to Coriolis Effect
I have a massive confusion regarding the direction of deflection due to the Coriolis effect.
Suppose, a ball is shot from the equator to the north pole. Initially, the ball has an eastward velocity, ...
- 1,791
4
votes
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Running backwards on a carousel
Let's suppose I'm on a carousel rotating with a speed $\omega$ and start running on it in the opposite direction with a speed $v$ such that $\omega r=-v$ where $r$ is the distance between me and the ...
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Factor of 2 error in angular momentum / Coriolis force calculation
The problem
An object is dropped from a helicopter, which is at rest relative to the Earth rotating at $\Omega$ at height $h=500\text{ m}$ above the ground at the equator.
Without using the Coriolis ...
- 2,456
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What will be trajectory of a free falling rotating fan?
Consider a situation, where a fan is rotating in full swing. Suddenly, the contact between ceiling and fan bearing is broken. What will be trajectory of fan if it falls under the infulence of ...
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Force on object at South pole
If we have an object of mass $m$, moving on a path of constant longitude travelling at speed v, what will the force on the object be just as it passes the South Pole? We are to assume the Earth is ...
- 113
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Inertial frames and Rotation: shooting up a ball from a rotating platform
A short cylindrical tube is fixated in a horizontal platform and shoots a ball vertically in such a way that it falls back into the tube.
Now imagine that the platform is spinning with a certain ...
- 548
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A problem on determining coriolis force on frames
First of all I am defining x axis in east of object and y to be in the north of object . Let us suppose a body is falling from a height; then after falling a certain height indeed gain some velocity ...
- 1,149
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Why is acceleration in the rotating system zero?
Given a circular body that rotates around itself and there is a band(or iron line) that connects between the Cartesian coordinate system and its Perimeter, on the band, there is an ant that walking ...
- 101
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Rotating Disk and vertical projectile
I have a question regarding classical mechanics and rigid bodies. Suppose we have a rotating disk with the plane of the disk perpendicular to the z-axis. The disk rotates with an angular velocity ...
