Physics

What is the algebraic expression for the ratio ac,second/ac,minute of the centripetal accelerations for the tips of the second hand and the minute hand? Express your answer in terms of the periods Tsecond and Tminute. (Answer using T_m to be the period of the second hand and T_s to be period of the minute hand.)
ac,second/ac,minute =


(d) What is the ratio ac,second/ac,minute of the centripetal accelerations for the tips of the second hand and the minute hand?
ac,second/ac,minute =

  1. 👍 0
  2. 👎 0
  3. 👁 142
  1. Let L be the length of a clock's hand and T be its period of rotation. The acceleration of the tip is
    a = V^2/L = (2 pi L/T)^2/T = 4 pi^2 L^2/T

    Note the inverse dependence upon T. If both hands had the same length L, the a of the second hand would be 60 times the a of the minute hand.

    ac,second/ac,minute = T_minute/T_second = 60

    1. 👍 0
    2. 👎 0
    posted by drwls

Respond to this Question

First Name

Your Response

Similar Questions

  1. Physics

    The second hand and the minute hand on one type of clock are the same length L. -------------------------------------------------------------------------------- (a) What is the period Tsecond of the motion of the second hand? (_)

    asked by Karen on April 5, 2008
  2. Physics

    What is the algebraic expression for the ratio ac,second/ac,minute of the centripetal accelerations for the tips of the second hand and the minute hand? Express your answer in terms of the periods Tsecond and Tminute. (Answer

    asked by Eric on April 3, 2008
  3. Physics

    What is the algebraic expression for the ratio ac,second/ac,minute of the centripetal accelerations for the tips of the second hand and the minute hand? Express your answer in terms of the periods Tsecond and Tminute. (Answer

    asked by Will G on April 2, 2008
  4. physics (centripetal acceleration)

    The second hand and the minute hand on one type of clock are the same length. Find the ratio (ac,second/ac,minute) of the centripetal accelerations of the tips of the second hand and the minute hand.

    asked by Gina on February 14, 2011
  5. Physics

    A ceiling fan has two different angular speed settings: 1 = 475 rev/min and 2 = 170 rev/min. What is the ratio a1/a2 of the centripetal accelerations of a given point on a fan blade? Centripetal acceleration at a distance R and

    asked by CJ on March 15, 2007
  6. Math

    1. What is the algebraic expression for the following word phrase: the sum of 3 and 4x? 2. What is the algebraic expression for the following word phrase: the quotient of 8 and the difference of x and y? 3. What is the algebraic

    asked by Cakes4me on September 8, 2017
  7. Physics

    A model airplane is flying in a horizontal circle with a constant speed. The initial radius of the circle is R. The boy holding the cord to which the airplane is attached, then decides to increase the length of the cord so that

    asked by Sam on June 8, 2014
  8. Physics

    A model airplane is flying in a horizontal circle with a constant speed. The initial radius of the circle is R. The boy holding the cord to which the airplane is attached, then decides to increase the length of the cord so that

    asked by Sam on June 8, 2014
  9. Physics

    A 0.21 kg ball on a string is whirled on a vertical circle at a constant speed. When the ball is at the three o'clock position, the tension is 18 N. --------------------------------------------------------------------------------

    asked by Johnson on April 11, 2008
  10. Algebra

    1.Simplify the following expression. 4(20+12)÷(4-3) 4(20+12 ÷ 1 4 32 ÷ 1 128 2.A gym membership cost $25 to join and $14 a month. Write and use an algebraic expression to find the cost of the gym membership for 6 months.

    asked by GummyBear on August 31, 2015

More Similar Questions