Hydrostatic force

What hydrostatic force is applied to an area of 30 cm2 in water at a depth of 20 m? (Water density is 1000 kg/m3)

Correct result:

F =  588.6 N


S=30 cm2m2=30/10000 m2=0.003 m2 h=20 m V=S h=0.003 20=350=0.06 m3 ρ=1000 kg/m3  m=ρ V=1000 0.06=60 kg g=9.81 m/s2 F=m g=60 9.81=29435=588.6 NS=30 \ cm^2 \rightarrow m^2=30 / 10000 \ m^2=0.003 \ m^2 \ \\ h=20 \ \text{m} \ \\ V=S \cdot \ h=0.003 \cdot \ 20=\dfrac{ 3 }{ 50 }=0.06 \ \text{m}^3 \ \\ ρ=1000 \ \text{kg/m}^3 \ \\ \ \\ m=ρ \cdot \ V=1000 \cdot \ 0.06=60 \ \text{kg} \ \\ g=9.81 \ \text{m/s}^2 \ \\ F=m \cdot \ g=60 \cdot \ 9.81=\dfrac{ 2943 }{ 5 }=588.6 \ \text{N}

We would be very happy if you find an error in the example, spelling mistakes, or inaccuracies, and please send it to us. We thank you!

Showing 0 comments:

Tips to related online calculators
Do you want to convert area units?
Tip: Our Density units converter will help you with the conversion of density units.
Do you want to convert mass units?

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • Air pressure
    air_pressure The meteorological station measured the air pressure of 1060 hPa (hectopascals). In addition to measuring instruments, there is a residential house that has a flat roof with dimensions of 10 m and 28 m. What pressure force in MN (meganewtons) force the ai
  • Chained winch
    vedro When digging a well, a chained winch is used to balance the material. An empty shackle weighs 8 kg, a full 64 kg. What force must the worker exert on the crank handle when pulling the shackle with a uniform movement from a depth of 5 m, if the shaft diame
  • Newtonmeters
    kluc-skrutky The driver loosened the nut on the car wheel with a wrench that held 20 cm from the axis of the bolt. He acted on the key with a force of 320N. At what moment did he act on the bolt?
  • Overload
    aircraft-02_10 What overload in g (g-force) has passed the pilot if he accelerated from 0 to 600 km/h in 3 seconds?
  • Land areas
    land Two land areas is 244 m2. The first parcel is 40 m2 less than twice of the second one. What have acreage of each parcel?
  • Water percent
    huby A 15 g sample of the substance contains 70% water. After drying, the weight was reduced to 9 g. What percentage of water is now in the sample?
  • Copper wire
    cu_wire_1 What is the weight of 1000 m copper wire with a diameter of 5 mm when metric density p = 8.8 g/cm3?
  • Resistance
    Rezistor_2 A resistor having an electrical resistance of 1.5 k ohms passes an electrical current of 0.1 A. Calculate what voltage is between the terminals of the resistor.
  • Foot area
    elephant_2 Which animal will leave deeper footstep: an elephant weighing 5 tons with a total foot area of 0.5 square meters, or a gazelle weighing 10 kg and a foot area of 50 cm square?
  • Mass
    tubes The thickness of a metallic tube is 1cm and its outer radius is 11cm. Find the mass of such 1m long tube, if the density of the metal is 7.5g per cubic cm.
  • Potatoes bags
    vrece_zemiakov I have three bags with 21 kg potatoes. The first bag is 5.5 kg more than in the second bag and the third is 0.5 kg more than in the second bag. Determine how many kgs of potatoes is in each bag.
  • Linear system
    linear_eq_2 Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2
  • Collecting day
    smetiari_2 At collecting day at school pupils of three classes took total of 1063 kg of paper. Class B collected half more than A Class and class C 55 kg more than B. How many kg of paper collected each class?
  • Volleyball
    volejbal 8 girls wants to play volleyball against boys. On the field at one time can be six players per team. How many initial teams of this girls may trainer to choose?
  • The gold coin
    minca The gold coin contains 900 per mille of pure gold. The coin weighs 950g. How much per mille is gold? How many grams are gold?
  • Percentage increase
    percent_31 Increase number 400 by 3.5%
  • 6 terms
    arithmet_seq Find the first six terms of the sequence. a1 = 7, an = an-1 + 6