Themes, topics - math word problems - page 72 of 168
Number of problems found: 3355
- Efficiency 35023
The cellar, which has a floor area of 50 m² and is 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water? - Light year
A light-year is a unit of length that expresses the distance light travels in one year. What distance will it travel if the speed of light is approximately 300,000 km/s? - Copper winding
Calculate the current flowing through the copper winding at an operating temperature of 70°C Celsius if the winding diameter is 1.128 mm and the coiled length is 40 m. The winding is connected to 8V. - Current in the conductor Calculate the current in the conductor (in mA) if it is connected to a 4.5 V voltage source and its resistance is 20 (ohm).
- Resistance 34891
What is the voltage in the circuit if its total resistance is 920 (Ohms) and the current is 250 mA? - The bulb
What is the resistance of a filament lamp when it is connected to a 9V battery and has a current of 120 mA? - 45194840364737364738 34871
The speed of the car is 23.45194840364737364738 km/h. How many hours will it take to travel around the world? - An airplane
An airplane flies 1440 km in 2 1/4 hours. What is its average speed in km per hour? - Operating 34651
Twelve painters will paint all the rooms in the hotel in 75 hours. How many painters must the operating staff hire when the rooms have to be painted in 60 hours? - Temperature 34641
The aluminum line has a resistance of 7.6Ω at -10˚C. What will be its resistance at a temperature of + 50˚C? - RC time constant
You introduced 1 Coulomb worth of electrons into the inner volume of a dielectric material with ϵr=6. Thirty minutes later, you found that only 36.79% of the electrons were in the internal volume. Determine the conductivity σ of the dielectric material. - Distance 34601
On a map with a scale of 1:250000, the distance between the two mountain peaks is 32 mm. What is the actual length in km? - A 36
A 36 g sample of the substance contains 91% water. After drying, the weight of the sample was reduced to 18 g. What percentage of water is now in the sample? - Double-track line
A 160 m long passenger train runs on a double-track line in one direction at a constant speed of 54 km/h, and a 240 m long express train in the opposite direction. a) How fast is the express train if passing the passenger train driver for 6 s? b) How long - A pressure
How much compressive force does an aquarium with a bottom area of 0.24 m² exert on the table when a pressure of 3 kPa is created? - Compressive force
The excavator's area of belts is 5 m2, and it creates a pressure of 40 kPa. How much compressive force does the excavator exert on the road? - Inclination of a hill
A skier starts down a hill of length l and an angle of inclination of 10˚. It then moves to a horizontal section of the track, which travels the same length l until it stops. Determine the coefficient of sliding friction between the skis and the snow. - Dance ensembles
Four dance ensembles were dancing at the festival. None had less than ten and more than 20 members. All dancers from some of the two ensembles were represented in each dance. First, 31 participants were on the stage, then 32, 34, 35, 37, and 38. How many - Open intervals
Open intervals A = (x-2; 2x-1) and B = (3x-4; 4) are given. Find the largest real number for which A ⊂ B applies. - Sand
How much can m³ of sand be loaded on a car with a load capacity of 5 t? The sand density is 1600 kg/m³.
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