ElectricPavlov

Using Pythag theorom

x = height      16-x = top of tree= hypotenuse

x^2   + 8^2 = (16-x)^2

x^2 + 64 = x^2 -32x+256

64 = -32x+256

x = 6 Meters

Area of rectangle   11 x12

      minus area of circle   pi 2^2     cm²

1.25 x   =  40       solve for 'x' the number of dogs

10

20 21

30 31 32     we can see a pattern here

1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = ..........

The linear velocity of each of the gears is the same because they are connected by the chain (ANGULAR velocity for each is different though)

r = 3          36 revs/20 sec x   60 sec/min = 108 rev/min       

  3 cm   * 108 rev/min   x 2 pi /rev = 2035.75  cm/min

Circumference of a circle = pi * diameter        or    pi * 2 * radius

How are linear velocity and angular velocity related?

4. linear velocity

_________ is the change in distance over time, where the distance is the circumference of a circle. It can be represented by __2. v=s/t____ or v=rθ/t .

Angular velocity is the change in _____10. distance over time__ , where distance is the change in the angle measure.

Angular velocity is represented as ____1. w=θ/t___ .

This means that _______ .6. linear velocity is the product of the radius and angular velocity

2z + 3y² = nz

3y² =  z (n-2)

z = 3y² / (n-2)

First find the hypotenuse via Pythagorean T

sqrt( 8^2 + (-3)^2 )  = sqrt 73

sin = opp/ hyp = -3/sqrt73

cos = adj/hyp =   8/sqrt 73

tan = sin/cos......you can do that     and    cot    and  sec and csc

A little difficult to type in all of those exponents, so here is a hand-scrawled version: