MYTUTOR SUBJECT ANSWERS

417 views

The speed of water moving through a turbine is 2.5 m/s. Show that the mass of water passing through an area of 500 metres squared in one second is about 1 x 10^6 kg (density of sea water = 1030 kg/m^3)

This is a past exam question from an A level paper for OCR Physics B.

We know that in one second, a volume of water (V), travelling at 2.5 m/s is passing through an area of 500 metres squared in one second. This volume can be represented as a column, with the cross section (area at the front) equal to the area the water is passing through, so 500 metres squared. Since we know that v=s/t, we can rearrange this to get s=vt meaning that in one second, all the water molecules travel v.t metres of 2.5 x 1 = 2.5 metres. This gives us our bottom side for our column, giving us a total volume of V=Al = 500 x 2.5 = 1250 metres cubed.

So we now have the volume (V) and the density (ρ) but want to find the mass (m) which are all linked in the equation ρ=m/V which when rearranged gives m=ρV giving us an answer of m=1030 x 1250 = 1,287,500 kg which we can say is roughly equal to 1 x 10^6 kg

Catherine H. A Level Physics tutor, GCSE Chemistry tutor, GCSE Biolog...

1 year ago

Answered by Catherine, an A Level Physics tutor with MyTutor


Still stuck? Get one-to-one help from a personally interviewed subject specialist

83 SUBJECT SPECIALISTS

£22 /hr

Amilah C.

Degree: Physics with a year abroad (Masters) - Edinburgh University

Subjects offered:Physics, Maths+ 1 more

Physics
Maths
Chemistry

“Hi there, welcome to me page! About Me: I am currently studying Physics at the University of Edinburgh. From a young age, science has always been a passion of mine, and hopefully I can convey this in my tutorials. Previously, I found...”

£22 /hr

Jonathan P.

Degree: Physics (Masters) - Durham University

Subjects offered:Physics, Maths

Physics
Maths

“About Me: I am a Physics student at Durham University. My passion is physics, and by association maths, I will aim to instil asimilar passion in students during my tutorials. I am a highly patient and approachable individual.  I have...”

£20 /hr

Anthony S.

Degree: Physics (Bachelors) - Newcastle University

Subjects offered:Physics, Maths

Physics
Maths

“I love physics and maths! And I love teaching them too! My tutorials are engaging and informative for all abilities, and will push those exam results up.”

About the author

Catherine H.

Currently unavailable: for new students

Degree: Physics with Astrophysics (MSci) (Masters) - Bath University

Subjects offered:Physics, Maths+ 4 more

Physics
Maths
Further Mathematics
French
Chemistry
Biology

“Hi there! My name's Catherine. I am a first year student at the University of Bath studying Physics and Astrophysics. I spent a year at UPMC, a university in Paris between my A levels and coming to Bath, studying Physics, Chemistry, M...”

You may also like...

Posts by Catherine

Find the exact gradient of the curve y=ln(1-cos2x) at the point with x-coordinate π/6

The speed of water moving through a turbine is 2.5 m/s. Show that the mass of water passing through an area of 500 metres squared in one second is about 1 x 10^6 kg (density of sea water = 1030 kg/m^3)

Other A Level Physics questions

Why can't you hear any noise in space?

What is the difference between accuracy and precision?

How do you explain why puddles evaporate on cold days ?

What is escape velocity?

View A Level Physics tutors

We use cookies to improve your site experience. By continuing to use this website, we'll assume that you're OK with this. Dismiss

mtw:mercury1:status:ok