March 28, 2017

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A roller coaster ride includes a circular loop with radius R = 13.3 m. What minimum speed must the car have at the top to stay in contact with the tracks?

  • Physics - ,

    Did you get the previous problem?

    If you have questions, don't be shy to make a follow-up.

    Basically, the centripetal acceleration has to offset gravity, 9.8 m/s².

    Since the centripetal acceleration is given by v²/r, so we equate the two quantities to get
    v²/r = 9.8
    v=sqrt(9.8*r) m/s
    = sqrt(9.8*13.3) m/s
    = 11.4 m/s.

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