A milkshake has fairly similar density to that of water (Ps 1200 kg/m³) but is far more viscous (j = 1 kg/m-s). Figure for problem 2. (a) Say you try to drink a milkshake through a straw that is 30 cm long and 5 mm in diameter. Your lungs are capable of creating a vacuum pressure of 3000 Pa. (Vacuum pressure just means a pressure below that of the atmosphere, so Peg-Patm-3000 Pa.) You find that if you place the straw just at the surface of the liquid, you are unable to suck the milkshake through the straw, but if you push the straw deeper into the shake, you can. To what depth, d, would you need to push the straw in order to just start to sip the milkshake? (b) Suppose you push the straw to a depth of 10 cm and suck with a suction pressure of -3000 N/m². What volume flow rate of milkshake can you produce through the straw?

Elements Of Electromagnetics
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A milkshake has fairly similar density to that of water (m s = 1200 kg/m3) but is far more viscous ( = 1kg/ms)

(a) Say you try to drink a milkshake through a straw that is 30 cm long and 5 mm in diameter. Your lungs are capable of creating a vacuum pressure of 3000 Pa. (Vacuum pressure just means a pressure below that of the atmosphere, so plung = patm  3000 Pa.) You Önd that if you place the straw just at the surface of the liquid, you are unable to suck the milkshake through the straw, but if you push the straw deeper into the shake, you can. To what depth, d, would you need to push the straw in order to just start to sip the milkshake?
(b) Suppose you push the straw to a depth of 10 cm and suck with a suction pressure of 3000 N/m2. What volume áow rate of milkshake can you produce through the straw

**Milkshake Viscosity and Suction Experiment**

A milkshake has a fairly similar density to that of water (\(\rho_{ms} = 1200 \, \text{kg/m}^3\)) but is far more viscous (\(\mu = 1 \, \text{kg/ms}\)).

### Problem 2 Diagram
The figure accompanying this problem shows a milkshake in a container with a straw inserted. The depth the straw is inserted into the milkshake is labeled \( d \).

### Question (a)
Say you try to drink a milkshake through a straw that is 30 cm long and 5 mm in diameter. Your lungs are capable of creating a vacuum pressure of 3000 Pa. (Vacuum pressure just means a pressure below that of the atmosphere, so \( P_{\text{lung}} = P_{\text{atm}} - 3000 \, \text{Pa} \)). You find that if you place the straw just at the surface of the liquid, you are unable to suck the milkshake through the straw, but if you push the straw deeper into the shake, you can. To what depth, \( d \), would you need to push the straw in order to just start to sip the milkshake?

### Question (b)
Suppose you push the straw to a depth of 10 cm and suck with a suction pressure of \(-3000 \, \text{N/m}^2\). What volume flow rate of milkshake can you produce through the straw?
Transcribed Image Text:**Milkshake Viscosity and Suction Experiment** A milkshake has a fairly similar density to that of water (\(\rho_{ms} = 1200 \, \text{kg/m}^3\)) but is far more viscous (\(\mu = 1 \, \text{kg/ms}\)). ### Problem 2 Diagram The figure accompanying this problem shows a milkshake in a container with a straw inserted. The depth the straw is inserted into the milkshake is labeled \( d \). ### Question (a) Say you try to drink a milkshake through a straw that is 30 cm long and 5 mm in diameter. Your lungs are capable of creating a vacuum pressure of 3000 Pa. (Vacuum pressure just means a pressure below that of the atmosphere, so \( P_{\text{lung}} = P_{\text{atm}} - 3000 \, \text{Pa} \)). You find that if you place the straw just at the surface of the liquid, you are unable to suck the milkshake through the straw, but if you push the straw deeper into the shake, you can. To what depth, \( d \), would you need to push the straw in order to just start to sip the milkshake? ### Question (b) Suppose you push the straw to a depth of 10 cm and suck with a suction pressure of \(-3000 \, \text{N/m}^2\). What volume flow rate of milkshake can you produce through the straw?
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