Equations, Units, Conversions, SIN, COS

Question 1

sin (0) vs cos (0)?

Values of each for angles of: 30, 45, 60, 90 respectively.

Answer 1

Sin (0) = 0 Cos (0) = 1 Sin: 0.5, 0.707, 0.866, 1 Cos: 0.866, 0.707, 0.5, 0

Question 2

What is the bump trick for logarithms?

Answer 2

log(1000) = 3

log is shorthand for log_{10 ,} take the 10 and move it over and bump the 3 up to an exponent, so 10³ = 1000

Question 3

What are the log rules?

Answer 3

1. log (1) = 0
2. log_X (X) = 1
3. log (10^x) = x
4. log (n * m) = log (n) + log (m)
5. log (n/m) = log (n) - log (m)
   - log (x) = log (1/x)

Question 4

Equations for power?

Answer 4

P = V x I

P = I² x R

P = V²/R

P = w / t

Question 5

pH equation?

Answer 5

pH = -log [H⁺}

Question 6

What is the unit for frequncy?

Answer 6

Hertz

1/s

Question 7

What is the unit for force?

Answer 7

Newton

Kg * m/s²

Question 8

What is the SI unit for pressure?

What is 1 atmosphere in pascals?

Answer 8

Pascal

N/m²

1 atm = 101325 Pa

Question 9

What is the unit for energy, work, or heat?

Answer 9

Joule (J)

N * m

Question 10

What is the unit for power?

Answer 10

Watt (W)

J/s

Question 11

What si the unit for charge?

Answer 11

Coulomb (C)

A * s

Question 12

What is the SI unit for electric potential?

Answer 12

Volt

J/C

Question 13

What is SI unit for capacitance?

Answer 13

Farrod

C/V

Question 14

What is the SI unit for resistance?

Answer 14

Ohm

V/A

Question 15

What is the SI unit for magnetic field strength?

Answer 15

Tesla

N/A * m

Question 16

Equation for acceleration?

Answer 16

a = V_f - V_i / t

Question 17

How to calculate displacement with accelration?

Answer 17

d = V_it + 1/2at²

Question 18

Final velocity without time?

Answer 18

V_f² = V_i² + 2ad

Question 19

Free fall

Question 20

Free fall equations for displacement and final velocity?

Answer 20

y = 1/2GT²

V_f² = 2gy

Question 21

What is the equation for electrostatic force between two nonmoving charges relative to each other in a uniform magnetic field?

What about a nonuniform field (coulombs law)?

Answer 21

F = qE

F = k(Q₁q₂)/r²

Question 22

What is the equation for torque?

What is the difference between + and - torque?

Answer 22

t = Fdsin(Ø)

Clockwise = -

Counterclockwise = +

Question 23

What are some equations for work?

Answer 23

W = Fdcos(Ø)

W = P * delta V

Question 24

What is the equation for kinetic energy?

Potential energy?

Answer 24

KE = 1/2mv²

PE = mgh

Question 25

KE or PE of spring?

Answer 25

1/2 * kx²

k = spring constant

x = maximum compression