Angle + velocity - practice problems
Number of problems found: 44
- Magnitude of angle
What magnitude has an obtuse angle enclosed by the hands of clocks at 12:20 hours? - Speed of clock
How many minutes will the hour hand pass at straight and right angles? - Calculate 80793
The liquid has a specific gravity of γ = 9050 N. m-3. Calculate its specific gravity, the mass of 2 m³ of this liquid, and also of 3 m³ of this liquid. - Equal temperature
We measured the temperatures of the two cities at the same time. The temperature in town A was 60 degrees And rose at a constant rate of 2 degrees per hour. The temperature in city B was 40° and rose at a constant rate of 10° per hour. Find the time in ho - Gear wheels
Two gear wheels, which fit together, have the number of teeth z1=117 and z2=70. Calculate the speed of the first wheel if the second wheel rotates 582 revolutions per minute. - Instantaneous 37201
The amplitude of the linear undamped harmonic oscillator is A = 12 cm, and the frequency f = 15 Hz. What is its instantaneous deflection at time a) t1 = 0.02s, b) t2 = 0.04s, when it was zero at time t = 0 s? - The temperature 13
The temperature in Toronto at noon during a winter day measured 4°C. The temperature started dropping 2° every hour. Which inequality can be used to find the number of hours, x, after which the temperature will measure below -3°C? - Assuming 4015
The seat of the bicycle is 1.2 m high. The cyclist weighs 82 kg, is going down a 15% hill at a speed of 50 km/h, and hits a curb 20 cm high at an angle of 45 degrees. How far from the center of the front wheel's axis is the cyclist thrown? We are assuming - Revolutions 81906
How much energy was supplied by the flywheel of the device if its number of revolutions decreased from 1200 to 720 revolutions per minute if it has a moment of inertia of 71.3 kg/m²? - Ball
The soldier fired the Ball at an angle of 35° at an initial velocity of 292 m/s. Determine the length of the litter. (g = 9.81 m/s²). - Acceleration 2
If a car traveling at a velocity of 80 m/s/south accelerated to a speed of 100 m/s east in 5 seconds, what is the car's acceleration? Using Pythagorean theorem - Raindrops
The train runs at a speed of 14 m/s, and raindrops draw lines on the windows, which form an angle of 60 degrees with the horizontal. What speed do drops fall? - On a
On a someday, the Sun, Venus, and the Earth are in eclipse, i. E. Venus is between the Sun and the Earth. Venus orbits the Sun in 225 days. In how many years will all three bodies be in alignment again? - Hands
The clock shows 12 hours. After how many minutes will the angle be between the hour and minute hand 90°? Consider the continuous movement of both hands for hours. - Clocks
How long will a path of the end of the clock's minute-hand long 7 cm for 330 minutes? How long will we walk at the same time hour-hand? - Raindrops
The car runs on a horizontal track at a constant speed of 20 m2-1. It is raining. Raindrops fall in a vertical direction at a speed of 6 m/s. a) How fast is the speed of the drops relative to the car windows? b) What is the angle of the raindro - Perpendicular 7005
A speedboat moves relative to the water at a constant speed of 13 m/s. The speed of the water current in the river is 5 m/s a) At what angle concerning the water current must the boat sail to keep moving perpendicular to the banks of the river? b) At what - Merry-go-round 82611
Calculate the magnitude of the angular velocity of the seat of a merry-go-round moving in uniform motion in a circle with an orbital period of 0.2 minutes. - Distance 11711
The observer sits in a room 2 m from a 50 cm wide window. A road runs parallel at a distance of 500 m. What is the cyclist's average speed on this road when the observer sees him at 15 s? - Ballistic curve
The soldier fired the ballistic grenade at a 45° angle. The first half ascended, and the second fell. How far and height it reached if his average speed was 1200 km/h, and 12 seconds took from the shot to impact.
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