Recent content by squarkman
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High School Radius x Height: Unpacking the Mystery of Volume in Cubes
Hi, The volume of a cone is 1/3 pi R^2 h. Why then is the answer in units cubed. Certainly the h is contributing a third dimension but in general math you don't see this happening X^2 * Z = X^3 but the below is true X^2 * X = X^3 Can a radius be multiplied by a height to make the...- squarkman
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- Height Mystery Radius Volume
- Replies: 3
- Forum: General Math
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Undergrad Understanding Calculus in a different way
I have discovered a relationship. If you integrate the equation for the volume of a sphere, you get an equation that is a cone whose height is the radius squared, such that as the radius increase the height increased as the square. Now, my next question is this a new geometrical object? Does it... -
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Graduate Who Truly Experiences Slower Time in the Paradox of Time Dilation?
Hmm, so it's all about how you traverse space-time. not about your rate of change of velocity...Although you do have to approach the speed of light for significant effect. Yes? I'm just really thrown by the turning around 180 degrees thing. Regarding your 2D analogy...let's say twin 1...- squarkman
- Post #47
- Forum: Special and General Relativity
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Graduate Who Truly Experiences Slower Time in the Paradox of Time Dilation?
What is the significance of turning around, to the relative ages of the twins? If twin A remains on Earth and twin B gets in a spaceship and travels at .8 C, he should be younger when he returns. But is it a moot point if he is younger BEFORE he turns around since comparison is impossible...- squarkman
- Post #45
- Forum: Special and General Relativity
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Undergrad Calculating Force Due to Velocity | Simplified Method for Calculations
Interesting semantics. F=mA F=m * dv/dt Velocity is equally responsible for force as acceleration is! One could argue that there IS force due to velocity. The rate of change of velocity. lol If you think of a macroscopic object moving in space, it could be said to have a velocity with... -
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Undergrad Understanding Calculus in a different way
Thanks. So I guess SNAP (rate of change of Jerk), CRACKLE, and POP have no real world meaning as well as it relates interative differentiations of distance. Why is it that the rate of change of acceleration leads to Jerk instead of nothing meaningful? Just luck? What makes the... -
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Undergrad Understanding Calculus in a different way
In physics, jounce or snap is the fourth derivative of the position vector with respect to time, with the first, second, and third derivatives being velocity, acceleration, and jerk, respectively; in other words, the jounce is the rate of change of the jerk with respect to time. Currently... -
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Undergrad Understanding Calculus in a different way
Maybe I SHOULD be using derivation and not integration... * Velocity is the rate of change of position. * Acceleration is the rate of change of velocity One might just stop there and say there is no real world quantity if you keep applying the derivative. But.. * Jerk is how fast... -
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Undergrad Understanding Calculus in a different way
:) So are you saying that someone created the concept of volume by integrating the eq for the surface area of a sphere?? I don't know if I go along with that. I think the concept of volume had been around long before calculus. So someone found out that the volume of a sphere could now be... -
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Undergrad Understanding Calculus in a different way
First, here's a question. One can integrate the equation for the volume of a sphere, but does it have any real world meaning? When I think of integration, I think of "Area under the curve integrated". But what does the integration of the eq for volume mean? Density? Or nothing at all. Is there...