You are using a syringe to inject a jelly filling into a donut at room temperature. The pressure inside the donut is 600 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 2.50x10-2 m long and has a radius of 1.00x10-3 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 14,200 Pa as you fill. What is the flow rate of jelly into the donut?

You are using a syringe to inject a jelly filling into a donut at room temperature. The pressure inside the donut is 600 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 2.50x10-2 m long and has a radius of 1.00x10-3 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 14,200 Pa as you fill. What is the flow rate of jelly into the donut?