Flow Rates and Compound Units
-
Either paper 4 marks
A rainwater barrel has a hole in it. The graph shows the volume of water left in the rainwater barrel as it leaks out at a steady rate.
(a)How much water was in the rainwater barrel at the start?
(b)Work out the rate at which the water is leaking out.
Give your answer in litres per minute.
(c)How long does it take for the rainwater barrel to empty completely?
-
Either paper 5 marks
Two taps, \(A\) and \(B\), are used to fill two identical tanks. Each tank holds \(24\) litres.
Both taps are turned on at the same time. The graph shows the volume of water in each tank.
(a)Work out the rate at which tap \(A\) fills its tank.
Give your answer in litres per minute.
(b)Work out the rate at which tap \(B\) fills its tank.
Give your answer in litres per minute.
(c)Which tap fills its tank at the greater rate?
-
Either paper 5 marks(a)
A stack of pallets stands on the floor. It presses down on the floor with a force of \(4800\) N.
The base of the stack of pallets is a rectangle measuring \(4\) m by \(3\) m.
Find the pressure the stack of pallets exerts on the floor.
Give your answer in N/m\(^2\).
(b)A different stack of pallets presses down with a force of \(2160\) N.
The pressure it exerts on the floor is \(240\) N/m\(^2\).
Find the area of the base of this second stack of pallets.
-
Either paper 4 marks
A tank can hold up to \(2300\) litres. At a certain moment it contains \(1143\) litres.
Water is then drained from the tank at a constant rate of \(6\) litres per minute.
Work out how much space is left in the tank \(1\) hour later.
-
Either paper 3 marks
The town of Corwen has a population of 130,720 and an area of 16 square miles.
The town of Dunmore has a population density of 3,399 people per square kilometre.
\(\text{population density} = \frac{ \text{population} }{ \text{area} }\)
Use \(1\) square mile \(= 2.5\) square kilometres.
Which town has the greater population density?
You must show your working to support your answer.
-
Either paper 4 marks
Sand is poured from a hopper at a steady rate of 14.5 kg per second for 26 minutes.
Is more than 22 tonnes of sand poured?
Tick a box.
Yes \(\square\) No \(\square\)
You must show your working.
-
Either paper 5 marks(a)
A tank is a cuboid measuring \(3\) m by \(2\) m by \(2\) m.
\(1\) m\(^3\) holds \(1000\) litres of water.
Work out the capacity of the tank in litres.
(b)Water flows into the tank at a rate of \(50\) litres per minute.
Work out how long the tank takes to fill.
Give your answer in hours.
-
Either paper 5 marks(a)
Water comes out of a outlet at a rate of \(350\) cm\(^3\) per second.
\(1\) litre is \(1000\) cm\(^3\).
Work out the rate in litres per minute.
(b)The outlet runs for \(16\) minutes.
Work out the volume of water it delivers.
Give your answer in litres.
-
Either paper 6 marks
A tank has a capacity of \(480\) litres. Tap A fills it at a rate of \(11\) litres per minute, and tap B fills it at a rate of \(13\) litres per minute.
(a)Tap A and tap B are turned on together.
Calculate how long they take to fill the tank between them.
Give your answer in minutes.
(b)Tap B is now replaced with a different tap, tap C. With tap A and tap C running together, the tank needs to fill in \(30\) minutes instead.
Find the rate tap C must supply, in litres per minute.
-
Either paper 5 marks
A tank is being filled by a pump at a rate of \(28\) litres per minute.
At the same time, an outlet valve at the base is left open, and water drains out through it at a rate of \(7\) litres per minute.
The tank has a capacity of \(420\) litres.
(a)Work out how long the tank takes to fill.
Give your answer in minutes.
(b)Work out how many litres leak away while the tank is filling.
-
(a) \(22\ \text{litres}\)
(b) \(1\ \text{litre per minute}\)
(c) \(22\ \text{minutes}\) -
(a) \(3\ \text{litres per minute}\)
(b) \(2\ \text{litres per minute}\)
(c) Tap A -
(a) \(400\ \text{N/m}^2\)
(b) \(9\ \text{m}^2\) - \(1517\ \text{litres}\)
- Dunmore. Corwen has about 3,268 people per square kilometre and Dunmore has 3,399 people per square kilometre.
- Yes. In 26 minutes the mass is 14.5 \(\times\) 1560 = 22620 kg, which is 22.62 tonnes, more than 22 tonnes.
-
(a) \(12000\ \text{litres}\)
(b) \(4\ \text{hours}\) -
(a) \(21\ \text{litres per minute}\)
(b) \(336\ \text{litres}\) -
(a) \(20\ \text{minutes}\)
(b) \(5\ \text{litres per minute}\) -
(a) \(20\ \text{minutes}\)
(b) \(140\ \text{litres}\)
Takes a couple of seconds the first time a sheet is made.