Recent content by Alcape

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    Graduate Nice math proof arctan(x)+arctan(1/x)=sign(x)pi/2

    Hi there I noticed that you used the sign(x) function, I came across it the other day and had trouble trying to figure it out I asked some Math C teachers I know but they didn't know either, I am wondering if you could please explain it to me
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    High School Question about the physics behind a guitar string

    Hey guys, when you put your finger down on part of the string of a guitar depending on how hard you push down the wavelength will become shorter hence changing the frequency
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    Calculate Vertical Loop on Roller Coaster for 5G Limit

    Hey guys I have an assignment and I need to design a roller coaster with banked corners, a loop, and a hill. Anyway I'm having trouble finding a radius for my loop the velocity going into the loop is 39.61817765m/s formulae: ac{centripetal accelerational} = (v{velocity}2)/r{radius}...
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    Calculating Potential Energy of a Roller Coaster System

    Hey Urgent, Try using: U = mgh U = 1000kg * 9.8m/s^2 (or 9.81) * 41.148m (transferred from feet)
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    How Fast Can a Carousel Spin Safely for Toddlers?

    I don't know why it's so complicated I didn't make it
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    Max Speed for 10 m Radius Spinning Drum Ride

    Yes I'm sure as this is question a and b asks for the angle
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    Max Speed for 10 m Radius Spinning Drum Ride

    I now have the answer if you use the formula for acceleration:a=v2/r and transpose it so that it becomes: v2 = a*r and therefore becomes: v = √(a*r) and it comes out to be 4.47...
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    How Fast Can a Carousel Spin Safely for Toddlers?

    Thanks for replying I now have an answer If you use the formula v = √(2gs) where v is the velocity g is the acceleration due to gravity and s is the distance fallen then it comes out to be 4.429m/s...
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    Max Speed for 10 m Radius Spinning Drum Ride

    If the walls are vertical then it doesn't work as it's at 90 degrees and tangent of 90 degrees then it comes out to be a mathematical error
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    How Fast Can a Carousel Spin Safely for Toddlers?

    Thanks For that tiny-tim I thought their may have been a formula I didn't know of. I appreciate your prompt reply. Thanks again.
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    How Fast Can a Carousel Spin Safely for Toddlers?

    Homework Statement If a designer finds through research of accident reports at a hospital that children under 5 can usually survive a fall of 1 m without serious injury, what is the maximum safe turning speed for a carousel to be used by children of this age? Homework Equations No Idea...
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    Max Speed for 10 m Radius Spinning Drum Ride

    Homework Statement If a spinning drum ride cannot exceed a 10 m radius, and the riders are not to experience an acceleration greater than 2g, what is the maximum speed at which the drum can spin? Homework Equations No Idea The Attempt at a Solution I tried using (theta) = tan-1...