Wave equation in terms of wavelength λ and distance x:
Wave equation in terms of period τ and time t:
Period τ and frequency f relationship:
A RipStik was swizzled across a large sheet of paper. Use the wave and wave data provided to answer the following questions.
________ How many waves are shown?
λ = _______________ Write the wavelength λ
a = _______________ Write the amplitude a.
τ = _______________ Write the period τ.
f = _______________ Calculate the frequency f.
y = ______ sin( _________ x). Write out the equation of the wave in terms of the wavelength λ and distance x.
Use a spreadsheet to graph the data in the table.
x
y
0
0
1
14
2
20
3
14
4
0
5
-14
6
-20
7
-14
8
0
9
14
10
20
11
14
12
0
13
-14
14
-20
15
-14
16
0
17
14
18
20
19
14
20
0
________ How many waves are shown in the spreadsheet graph?
λ = _______________ Determine the wavelength λ
a = _______________ Determine the amplitude a.
y = ______ sin( _________ x). Write out the equation of the wave in terms of the wavelength λ
Solve 4 tan(x) −1 = 0 for x in degrees
Solve 4(cos x)2 −1 = 0 for x in degrees
Given the equation for velocity, the launch angle θ, and the distance:
for a launch velocity v = 15 m/s at θ = 72°
vx = ______________ Calculate the horizontal velocity vx
vy = ______________ Calculate the vertical velocity vy
d = _____________Calculate the distance d the object will travel.
For the vector =
260 i + 150 j
magnitude = __________ Calculate the magnitude.
θ = __________ Calculate the direction angle in degrees.
A vector with a magnitude of 100 is at a direction angle of 67° to the horizontal. Write the vector in i, j component form.
=
________ i + ________ j
Sketch a graph of the following function:
____________ The force vector for Jaeger Striker Eureka's right lead helicopter is given by = -120i + 140j. Calculate the angle to the vertical θ in degrees.
____________ Calculate the magnitude of the vector = -120i + 140j.
A force F of 5774 Newtons is being exerted at an angle of 30° to the horizontal on an object.
F ⋅ d ___________ Calculate the energy (work) done to move the object 10 meters using the dot product.
F ⨯ d ___________ Calculate the torque on the object if the lever arm distance is 0.3 meters using the cross product.