You are using a syringe to inject a jelly filling into a donut at room temperature. The pressure inside the donut is 700 Pa above atmospheric pressure (assume that this does not change as you fill). The viscosity of jelly at room temperature is 35.0 Pa•s and the density is 1350 kg/m³. The syringe has a needle that is 3.50×10-2 m long and has a radius of 1.40×10-3 m. The reservoir of the syringe has a substantially larger radius than the needle, and the gauge pressure at the entrance to the needle in the syringe is 15,200 Pa as you fill. What is the flow rate of jelly into the donut?

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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You are using a syringe to inject a jelly filling into a donut at room temperature. The
pressure inside the donut is 700 Pa above atmospheric pressure (assume that this
does not change as you fill). The viscosity of jelly at room temperature is 35.0 Pa·s
and the density is 1350 kg/m3. The syringe has a needle that is 3.50×10-2 m long and
has a radius of 1.40×10-3 m. The reservoir of the syringe has a substantially larger
radius than the needle, and the gauge pressure at the entrance to the needle in the
syringe is 15,200 Pa as you fill. What is the flow rate of jelly into the donut?
Transcribed Image Text:You are using a syringe to inject a jelly filling into a donut at room temperature. The pressure inside the donut is 700 Pa above atmospheric pressure (assume that this does not change as you fill). The viscosity of jelly at room temperature is 35.0 Pa·s and the density is 1350 kg/m3. The syringe has a needle that is 3.50×10-2 m long and has a radius of 1.40×10-3 m. The reservoir of the syringe has a substantially larger radius than the needle, and the gauge pressure at the entrance to the needle in the syringe is 15,200 Pa as you fill. What is the flow rate of jelly into the donut?
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