Post a New Question

Calculus Hard Question

posted by .

A pendulum swings through an arc length of 1120 cm (Swing #1). With each further swing, the arc length is reduced by 15 %

State the growth factor.

Calculate the length of the arc in swing #5

I think im supposed to use this formula again, but I don't know how to use it. Tn = ar^n-1

  • Calculus Hard Question -

    swing #1 : 1120
    swing#2: 1120(.85) = 952
    swing #3 : 952(.85) or 1120(.85)^2 = 809.2
    ..
    swing#5 = 1120(.85)^4 = 584.647 cm

  • Calculus Hard Question -

    Where did you get 0.85 from?

  • Calculus Hard Question -

    100% - 15% = 85% = .85

  • Calculus Hard Question -

    Ok wait, sorry sorry. I actually messed writing the question. Its supposed to be 120 cm, not 1120 cm. But you're still right, the growth factor is 0.85m but I don't know how you got that:\

  • Calculus Hard Question -

    swing#5 = 120(.85)^4 = 63?

  • Calculus Hard Question -

    yes, to the nearest cm , I had 62.64

  • Calculus Hard Question -

    But I checked the answer, and it says its 73.695 :S

  • Calculus Hard Question -

    Ok, maybe I messed up writing the whole thing, I'll rewrite it again.

    A pendulum swings through an arc of 120 cm (Swing #1)
    With each further swing, the arc length is reduced by 15%

    State the growth factor

    Calculate the length of the arc in Swing #4

  • Calculus Hard Question -

    Their answer is wrong.

    According to your typing

    swing#1 = 120
    swing #2 = 120(.85) =
    swing#3 = 120(.85)^2
    swing #4 = 120(.85)^3 = 73.695
    swing#5 = 120(.85)^4 = 62.64

    Their answer would be for the 4th swing.

  • Calculus Hard Question -

    Oh ok, thanks so much, it was all because of my typing mistake :S Sorry about that.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Calculus

    A pendulum swings through an arc length of 1120 cm (Swing #1). With each further swing, the arc length is reduced by 15 % State the growth factor. Calculate the length of the arc in swing #5 I think im supposed to use this formula …
  2. Algebra 2

    Because of friction and air resistance, each swing of a pendulum is a little shorter than the previous one. The lengths of the swings form a geometric sequence. Suppose the first swing of the pendulum has an arc length of 100 cm and …
  3. MONGU COLLEGE

    In a single swing pendulum moves through an angle of 1.92 Radian. (a). Determine the length of arc treated by the pendulum Bob. (b). The area of the sector if the length of the pendulum is 13.2cm.
  4. MONGU COLLEGE

    In a single swing pendulum moves through an angle of 1.92 Radian. (a). Determine the length of arc treated by the pendulum Bob. (b). The area of the sector if the length of the pendulum is 13.2cm.
  5. Algebra 2

    Because of friction and air resistance, each swing of a pendulum is a little shorter than the previous one. The lengths of the swings form a geometric sequence. Suppose the first swing of the pendulum has an arc length of 100 cm and …
  6. Trigonometry

    A pendulum of length 17.6 inches swing 1 degree and 5 minutes to each side of its vertical posisition. To the nearest hundreth of an inch, what is the length of the arc through which the end of the pendulum swings?
  7. Algebra 2

    Because of friction and air resistance, each swing of a pendulum is a little shorter than the previous one. The lengths of the swings form a geometric sequence. Suppose the first swing of the pendulum has an arc length of 100cm and …
  8. Algebra 2

    Because of friction and air resistance, each swing of a pendulum is a little shorter than the previous one. The lengths of the swings form a geometric sequence. Suppose the first swing of the pendulum has an arc length of 100cm and …
  9. Algebra

    A tennis player's swing moves along the path of an arc. If the radius of the arc's circle is 4 feet and the power and the angle of rotation is 100 degrees, what is the length of the arc?
  10. apex geometry

    Hannah constructed two similar circles as seen in the image below. If the arc length of the larger circle is , which of the following would be true?

More Similar Questions

Post a New Question