Physical quantities - math word problems - page 207 of 298
Number of problems found: 5952
- Water tank
A cuboid-shaped water tank has a base measuring 7.5 metres by 3 metres. How high will the water reach if 10 litres of water flow in per second and the inlet is open for 5/6 of an hour? (Round the result to one decimal place and express it in metres.) - Aukro commission
Aukro - the Slovak and also the Czech versions charge various, non-transparent fees (fee for successful sale, commission, buyer protection, service fee). We therefore did a real experiment to determine how much actually Aukro takes. We sold and bought a b - Transformer oil temperature
The transformer is oil-cooled and transforms a power of 20 MW with an efficiency of 92%. Determine the temperature of the oil at the outlet of the transformer if the oil was 20 °C when it entered the transformer. 2.5 liters of oil will flow through the tr - Overtaking
On the direct road, the passenger car overtakes the slower bus by starting to overtake 20 meters from the bus and then passing it ahead of it again 20 meters away. The car overtakes at a steady speed of 72 km/h, while the bus goes at a steady speed of 54 - Segment ratio division
AB segment = 14 cm, divide it into two segments whose lengths are in the ratio 4:3. - Rod ratio division
How do you divide a 3 m long rod in a ratio of 1:5? Specify the length of both parts in cm. - Wheel peripheral speed
Calculate the peripheral speed of the number on the Wheel of Fortune if the wheel rotates within a period of 0.25 seconds and the number is written 1.5 m from the center of the wheel. - House drawing scale
The family house has a rectangular shape with sides of 15 m and 12 m. Determine the lengths of the sides of a family house on a drawing with a scale of 1:250 - Circular motion
The mass point regularly moves in a circle with radius r = $r m angular velocity ω = 4.3 rad/s. Calculate the period, frequency, and centripetal acceleration of this movement. - Building
Helen has 22 cubes for constructing a building comprising three cubes in height, the width of two cubes, and the length of four cubes. Is she able to build a building with these cubes? - Crane load path
The crane lifts the load in a uniform, straight line to a height of 8 m and simultaneously moves in a horizontal direction to a distance of 6 m. What path did the load cover? What was the resulting velocity of the load if it took 50 seconds to move it - The square
The square oak board (with density ρ = 700 kg/m3) has a side length of 50 cm and a thickness of 30 mm. 4 holes with a diameter of 40 mm are drilled into the board. What is the weight of the board? - Pool painting cost
A square-shaped pool with bottom dimensions of 7 m * 4 m and a height of 1.2 m needs to be painted. How much will the paint cost if 1 kg of paint, which is enough for 6 m² of color, costs 3 euros? The painter charges 1 euro for coating 1 m². - The glass
The glass has the shape of a cylinder with an inner diameter of 12 cm, and the height from the bottom is 16 cm. The cut skewer can be inserted diagonally into the glass so it does not protrude beyond the edge. What is the largest possible length of the cu - Gravel - cone
The mound of gravel has a regular circular cone shape with a height of 3.3 meters and a base circumference of 18.85 meters. How many cubic meters of gravel are in a pile? Calculate the weight of gravel if its density is p = 640 kg/cubic m. - Pool
Mr. Peter builds a pool in the garden in the shape of a four-sided prism with a rhombus base. The base edge length is 8 m, and the distance between the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water does Mr - Cu wire
Copper wire has a length l = 820 m and diameter d = 10 mm. Calculate the weight if the density of copper is ρ = 8500 kg/m³. Please result round to one decimal place. - Cylinder painting cost
How many kg of paint do we need to paint a cylinder with a diameter of 60 cm and a length of 2 meters if we use 0.5 kg of color for one square meter of surface? How much will we pay for paint if 1 kg costs CZK 165? - RPM
An electric motor makes 3,000 revolutions per minute. How many degrees does it rotate in one second? - Reserve map scale
The nature reserve covers an area of 40,000 square kilometers. If we draw it on a map on a scale of 1:1000000, we get a square. Find the side of the square on the map.
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