Water squirts from a syringe at a speed of 35 m/s. the diameter of the opening is .004 centimeters. what is the pressure difference in pascals between the water inside the syringe and the air outside? (assuming the syringe is horizontal and that the velocity inside is zero)

Answer 1

I would use Bernoulli's equation:
and
#Deltap=v_2^2*rho/2# where #rho=10^3 (kg)/m^3# is the density of water.
Giving: #Deltap=612500 Pa#

Check my maths!

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Answer 2

The pressure difference between the water inside the syringe and the air outside is approximately 61,247 Pascals.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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