Physical quantities - math word problems - page 206 of 296
Number of problems found: 5916
- 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? - 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. - 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. - 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 - 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. - Railway car points
Some points are at rest in a moving railway car concerning the earth's surface. However, some points move in the opposite direction to the direction of the moving car's speed. Which points are they? - Hemisphere layer
Find the volume of the spherical layer that results from a hemisphere with a radius of 5 cm by cutting a paragraph whose height is 1.5 cm. - Tank can filling
How many 8-liter cans can we fill from a block tank measuring 1.2 * 1 m * 1.6 m? - Right isosceles triangle
The right isosceles triangle has an altitude x drawn from the right angle to the hypotenuse, dividing it into two equal segments. One segment is 5 cm long. What is the area of the triangle? - For the tournament 2
For the dodgeball tournament, 8 teams signed up, from which pairs were formed by draw. In the first round, each pair played one match. The winners played semifinal matches and the winners of the semifinals played the last, final match, which determined th - Centimeters of water
A children's pool in the shape of a cylinder with a base diameter of d = 3 m contains V = 21 hl of water. How deep is the pool if the water level is 10 cm below the edge? State the result in centimetres and round to the nearest whole number.
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