# Week 7

Read: Reason, Authority and Science (ASGv2 Chap. 13) and Pascal's Principle (ASGv2 Chap. 14).

Key topics: deductive and inductive reasoning, causality, final cause, hydrostatic paradox, pascal's principle, pressure.

PHY 201 Lecture: Fluid flow, torricelli's law; deriving a rate equation for draining a fluid-filled vessel.
Quiz: Quiz covering week 6 material.

Homework:
1. Hydraulics: A fluid-filled syringe has a plunger with a diameter of 1 cm. The needle has a diameter of 1 mm. The plunger is depressed at a rate of 1 cm per second. (a) With what speed will the fluid squirt from the tip of the needle? (Answer: 100 cm/sec) (b) If the end of the needle is capped, and a force of 1 pound is applied to the plunger, what force will be applied to the end cap? (Answer: 1 / 100 pound)
2. Fluid weight (Ex. 14.1)
3. Fluid equilibrium and the center of gravity (Ex. 14.2a, b)

Lab:
U-tube (Ex. 14.4), Torricelli's law (Ex. 14.5). In lab this week, we will measure the height of fluid in two arms of a u-tube, and verify how this depends on the density of the fluid an the diameter of the arms. Also, we will measure how the speed of fluid exiting an orifice at the bottom of a fluid-filled vessel depends on the hydrostatic pressure at the depth of the orifice. PHY 201 students will attempt to predict the time to drain the vessel using a rate equation.

Chapter 13 (1 video):

Chapter 14 (11 videos):

Physics 1