Planimetrics - math word problems - page 135 of 185
Number of problems found: 3688
- Knife meat pressure
Grandma wanted to fry steaks for lunch. So she went to buy a large piece of meat. Calculate the knife's contact area with the meat if the grandmother cut with a force of 220 N and exerted a pressure of 1.83 MPa. - Nozzle water speed
A water spray nozzle with a cross-section of 1.5 cm² sprays water at a speed of 24 m/s. What is the speed of the current in the supply pipe whose cross-section has a volume of 18 cm²? - Aircraft bearing
Two aircraft will depart from the airport simultaneously. The first flight flies with a course of 30°, and the second with a course of 86°. Both fly at 330 km/h. How far apart will they be in 45 minutes of flight? - Steering wheel torque
What force does the driver exert when turning on the steering wheel if the steering wheel diameter is 35 cm and the torque is 3.5 N. M? - Regular polygons
Two regular polygons, x and y, are such that the number of sides of x is three more than the number of the sides of y. If the sum of the exterior angles of x and y is 117°, how many sides have x? - Square circuit ratio
The area of one square is 81 cm2, and the area of the other is 225 cm². What is the ratio of their circuits? - Shape
The plane shape has a maximum area 677 mm². Calculate its perimeter if the perimeter is the smallest possible. - Probability
A chessboard consists of 8x8 squares forming a square. A rook is unthreatened if there is no other rook in the row and column in which it stands. What is the probability that when 8 rooks are placed on a chessboard, none of them threaten each other (they - 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. - Base and longest side
The base of a right-angled triangle is 10 centimeters, and the longest side is 26 centimeters. What is the area of the triangle? - Ray
Light ray loses 1/19 of brightness passing through a glass plate. What is the brightness of the ray after passing through 5 identical plates? - The bridge
A vehicle weighing 5,800 kg passes 41 km/h on an arched bridge with a radius of curvature of 62 m. What force pushes the car onto the bridge as it passes through the center? What maximum speed can it cross over the bridge's center so it does not fly off t - Ferris wheel speed
The Ferris wheel in London has a diameter of 135 meters, and one turn takes about 30 minutes. At what speed per second do the cabins move around the perimeter of the London London Eye? - Square perimeter
The Czech Republic has an area of 78866 km². If this area were the area of a square, it would have a side of 280.83 km. How long before we go around this square at 50 km/h? - Hydraulic lift
Martin needs to lift a 1.5-ton car using a hydraulic device with pistons of sizes 2 cm² and 15 dm². How much force must the device exert on the small piston? - Air pressure
The meteorological station measured the air pressure of 1060 hPa (hectopascals). In addition to measuring instruments, there is a residential house with a flat roof with dimensions of 10 m and 28 m. What pressure force in MN (meganewtons) from the air on - Atmospheric pressure
The area of the horizontal plate is 0.80 m². The atmospheric pressure around the plate is 1100 hPa. 1. How much pressure does the air exert on the plate from above? 2. What is its direction? 3. Is the magnitude of this force different if the plate is tilt - 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? - Skirt fabric calculation
They bought fabric to sew a skirt in a tailor's salon. If they sewed skirts 50 cm long, they would sew 70 of them. How many skirts will they sew if they are 70 cm long? - Car perpendicular distance
How far apart would two passenger cars be after 2 hours of driving if they left the same garage on two perpendicular paths, one going at 82 km/h and the other at 104 km/h?
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