Unit conversion - math word problems - page 46 of 132

Number of problems found: 2624

Clock mathematics
If it is now 7:38 PM, what time will it be in 30,033,996,480 minutes from now?
Constant Angular Acceleration
The particle began to move from rest along a circle with a constant angular acceleration. After five cycles (n = 5), its angular velocity reached the value ω = 12 rad/s. Calculate the magnitude of the angular acceleration ε of this motion and the time int
An architect
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length of 1/2 inch and a width of 1/6 inch. The actual tiles have a length of 2/3 feet and a width of 2/9 feet. What is the ratio of the
Is right triangle
Find out if the triangle ABC (with right angle at the vertex C) is right if: a) a = 3dm, b = 40cm, c = 0.5m b) a = 8dm, b = 1.2m, c = 6dm
Minutes 35371
The fly flies at a speed of 8km/h. How many minutes will it fly from one place to another, which is 1600m away?
Hydraulic 35301
The hydraulic jack has pistons with a capacity of 6 cm² and 360 cm². How much force do we have to apply to the smaller piston to be able to lift a body weighing 180 kg on the larger piston?
Hydraulic 35291
The hydraulic press has pistons with a capacity of 20 cm² and 800 cm². How much force acts on the larger piston if we work on the smaller piston with a force of 100 N?
Cross-section 35233
How much soil is needed to dig a 200m long ditch, the cross-section of which is a square with an area of 4812.5 cm²
The pool
The cube-shaped pool has 140 cubic meters of water. Determine the bottom's dimensions if the water's depth is 200 cm and one dimension of the base is 3 m greater than the other. What are the dimensions of the pool bottom?
Transported 35203
The zombie column, which is shaped like a cylinder in the square, is 8 m high and has a diameter of 70 cm. I need to find out its weight. It will be transported by a truck with a load capacity of 8 tons.
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).
Quarter of an hour
If the clock showed a quarter of an hour more, it would be 10 minutes to 10 hours. How many hours do they show?
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?
Inaccurate 34503
Peter has an inaccurate alarm clock. He found that he was exactly 4 minutes late every hour. At 21:30 in the evening, he will set the exact time for it. What must alarm time be on him to wake him up at exactly 06:30?
Volume per time
The length of the cube-shaped tank edge is 4 m. A pump has a capacity of 200 l per minute. How long does it take for a pump to fill a cube-shaped tank up to 75% of its height?
Wooden cube
Find the weight of a wooden cube with an edge of 3.5 dm if the wood's density is 0.7 g/cm³.

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