Physical quantities - math word problems - page 208 of 296
Number of problems found: 5915
- Acceleration of point
The mass point moves evenly along a circle with a radius of 1.2 m at an angular velocity of 25 rad/s. Determine the frequency, period, and centripetal acceleration! - Billboards
An advertising panel has the shape of a cylinder. The circumference of the base is 10 m, the height of the cylinder is 4 m. a) How many CZK per year will we pay to rent the lateral surface of the cylinder, if 1 m² of advertising space costs 1,500 CZK per - Canopy
Mr Peter has a metal roof cone shape with a height of 127 cm and radius 130 cm over well. He needs to paint the roof with anticorrosion. If the manufacturer specifies the consumption of 1 kg to 3.3 m2, how many kg of color must he buy? - Cubes
A sphere is inscribed in one cube and the same sphere is circumscribed about another cube. Calculate the difference between the volumes of the two cubes if the difference between their surface areas is 231 cm². - Two waves
Two waves are out of phase by 26°. If the period of the waves is 6 seconds, what is the time difference between the waves? Give your answer in seconds to 2 decimal places. - 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? - Flywheel
The flywheel turns 450 rev/min (RPM). Determine the magnitude of the normal acceleration of the flywheel point, which is 10 cm from the rotation axis. - Grandparents
Grandfather set aside €1,200 for savings. At the beginning of each month, he deposited €100 into the bank at an annual interest rate of 3%. At the end of the year, he had €1,219.68 in the bank. Grandma immediately deposited the entire amount of €1,200 int - Pillar - bricks
A brick pillar has the shape of a four-sided prism with an isosceles trapezoid base with parallel sides a = 55 cm and c = 33 cm, leg b = 33 cm, and trapezoid height vₐ = 32.1 cm. The pillar is 1.9 m high. How many bricks were used to build it if one brick - Spherical bowl
The bowl, in the shape of part of a spherical surface, has a diameter of 28 cm at the top edge and is 8 cm deep. What is the total volume of the bowl? How much water would you have to pour into the bowl to fill it halfway? - Room wallpaper calculation
How many square meters of wallpaper will we need to cover the walls of a room with dimensions of 3 m and 4 m if the room height is 2.5 m? A door with dimensions of 90 cm and 2 m leads to the room. There is one window 1 m wide and 1.5 m high. - Pool water calculation
How many liters of water are in a pool whose width is 12 m, length 25 m, and depth 280 cm if it is filled 10 cm below the edge? What area of the walls wet the water (in m2)? - Garage painting calculation
How much paint does Peter use to paint a block-shaped sheet metal garage (without the lower base) with dimensions of 8 m, 5.5 m, and a height of 2.5 m, if 1 kg of paint is enough for a 4 m square area? - Wooden Planks Cost Calculation
Mr. Novák buys 40 "planks" 5 m long, 15 cm wide, and 5 cm thick. The price for 1 m³ of "planks" is CZK 4,950 How much do they pay for "boards"? - Cross-section - digging
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm? - Tank dimensions
The block of goods has dimensions of 2.5 m, 4.2 m, and a height of 180 cm. It is filled to two-thirds of the volume. How many hectoliters of water are in it? How many m² of the tank is soaked with water? - Cabinet painting
The cabinet is shaped like a block, with dimensions 120 cm and 150 cm on the front side and 120 cm and 60 cm on the upper wall. It is painted twice on the outside. When 1 kg of paint is enough to paint 8 m2, how much paint is used to paint the - Office
The office building was built in the shape of a regular hexagon inscribed in a circle with a radius of 12 m. The height of the walls is 7 m. How much does CZK cost to plaster the building walls per 1 m square cost CZK 400? - Cube cutting division
How many small cubes do we get when we cut a cube with an edge of 27 cm into cubes with an edge of 3 cm? - Quartile statistics
Use the following data, which was obtained from a study of weights of adult men, to answer problems: Mean ; 192 lb ; First quartile ; 178lb Median; 185lb ; Third quartile ; 232 lb Mode ; 180 lb ; 86th percentile ; 239 lb Standard Deviation ; 23lb; ; a) Wh
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