The "Giant Swing" at a county fair consists of a vertical central shaft with a number of horizontal arms attached at its upper end. Each arm supports a seat suspended from a cable 5.00 m long, and the upper end of the cable is fastened to the arm at a point 3.00 m from the central shaft. (a) Find the time of one revolution of the swing if the cable supporting a seat makes an angle of 30.0∘ with the vertical. (b) Does the angle depend on the weight of the passenger for a given rate of revolution?

Answer :

(A) Time period sec

(B) Angle is independent of weight.

Explanation:

Given :

Length of fastened arm m

Length of cable m

(A)

Time of one revolution is

Total radius of circle is m

Total force in horizontal direction X- direction

Since

Total force in Y - direction,

Comparing both equation,

Where

So time period,

  s

(B)

Mass is cancelled out, so the angle is independent of weight.

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.