Physics

posted by .

An Olympic swimming pool is heated and maintained at 30 °C in the winter. It has a volume of 2500 m3, a length of 50 m, and a width of 25 m. During a storm, the pool receives 1 cm of rain over its surface area. If the rain is 15 °C, what will the temperature of the pool be after all the water has mixed? Assume the pool heater remains off during this mixing period.

  • Physics -

    The sum of heats gained is zero.

    origmasswater*c*(t-30)+newmassadded*c*(t-15)=0
    because the density of the rain and pool water is the same, as is the width and length, you can do this wiht depths.
    depth originally= 2500/(50*30)
    new depth= .005m added.

    2500/(50*30)(t-30)+.005(T-15)=0

    solve for t

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. math

    Troy is building a pool that is proportional to the Olympic-sized pool. The width of his pool will be 625 centimeters. find the scale factor troy will use to build his pool use the scale factor to show the length of troys pool if the …
  2. algrebra 1

    The area of a rectangle is 128 in². If the length is twice the width, what is the length of the rectangle?
  3. math

    The length of a swimming pool is 22 ft. The width is 40 ft. If the volume of the pool is 2,500 ft³, which equation below could be used to find the depth of the pool?
  4. math

    dimensions of a pool the perimeter of a rectangular swimming pool is 192 feet find the length and the width of the pool if its width is one third of its length
  5. Physics

    Estimate Olympic swimming pool problem using Order of Magnitude Calculation: An Olympic swimming pool is roughly 45 m long and 33 m wide. How long will it take to fill such a pool with an ordinary garden hose?
  6. Math

    A swimming pool is to be constructed with a condition that its length must be twice its width. If the width of the pool is 2x+2 and its volume is 216 meter squared when its 2 meters deep. What is its dimensions?
  7. physics

    An Olympic pool has dimensions 50.0 m × 25.0 m × 2.68 m (length × width × depth). The density of the pool water is 1007 kgm-3. Atmospheric pressure (1.00 atm) is acting on the surface of the water. If a child dives down to the …
  8. Algebra

    the length of bill's backyard swimming pool is 60ft longer than the width of the pool. the surface area of the water is 1600 square feet. what is the width of the pool?
  9. Algebra

    the length of bill's backyard swimming pool is 60ft longer than the width of the pool. the surface area of the water is 1600 square feet. what is the width of the pool?
  10. Math

    The length of a pool is 8 times less than 5 times the width of the rectangular pool. The total distance around the pool is 140 feet. What is the actual length and width of the pool?

More Similar Questions