Question
To familiarize yourself with typical values of angular frequency w, conventional frequency, f and period T,...
To familiarize yourself with typical values of angular frequency w, conventional frequency, f and period T, complete the entries in the following table:
|
Case |
w (rad/s) |
f (Hz) |
T(s) |
|
A |
1x10^9 |
||
|
B |
1x10^9 |
||
|
C |
1x10^-10 |
||
|
D |
60 |
||
|
E |
6.28e-3 |
||
|
F |
1x10^-6 |
Homework Answers
Answer #1
A)
=2
*10^9
=6.28*10^9rad/sec
T=substituting in formula 1nS
b)f=10^9/2
=159154943.1
T=6.28nS
C)=2/T
2/10^-10=6.28*10^10
rad/sec
f=1/T
=10^-10Hz
D)=2*60=376.9rad/sec
T=1/f
=1/60=0.166sec
E)6.28*10^-10/2=f
=9.99*10^-11
T=1/9.99*10^-11
=10^10sec
F)=2*10^-6
=6.28*10^-6 rad/sec
T=1/f
=1/10^-6
=1
Not the answer you're looking for?
Similar Questions
A 205 g mass attached to a horizontal spring oscillates at a frequency of 1.00 Hz...
A 205 g mass attached to a horizontal spring oscillates at a
frequency of 1.00 Hz . At t =0s, the mass is at x= 4.20 cm and has
vx =− 23.0 cm/s . Determine: (a) the period s (b) the angular
frequency rad/s (c) the amplitude cm (d) the phase constant rad (e)
the maximum speed cm/s (f) the maximum acceleration cm/s2 (g) the
total energy J (h) the position at t = 4.2s
The frequency response H(f) of a linear system is given by: , where f is frequency...
The frequency response H(f) of a linear system
is given by: , where f is frequency in Hz.
(repeat - y(f)/x(f) = H(f) = j2f )
Find the output y(t) of this system for a 10 Hz cosinusoidal
input with an an amplitude of 3, i.,e
. Again (x(t) = 3*cos(2*pi*10*t)
A.) y(t) = 60*cos[2pi10t + (pi/2)]
B.) y(t) = j60cos(2*pi*10t)
C.) y(t) = 3*cos(2pi*60*t)
D.) y(t) = 60*cos[2*pi*10*t - (pi/2)]
The resonant angular frequency of any AC RLC circuit is W=2.00x10^3 rad/s. When this circuit operates...
The resonant angular frequency of any AC RLC circuit is
W=2.00x10^3 rad/s.
When this circuit operates at any input frequency.
(a) This input frequency is (higher/lower/equal) than the resonant
frequency. Explain why.
(b)In this case, the induction coefficient (L) and the electric
capacity (C) value can be determined (possible/impossible)
Explain why.
(c)If obtain L and C values if (b) is possible.
If impossible, seek simple conditions that L and C are satisfied
with.
Trials 1 2 3 4 5 6 Mass m(kg) 100 150 200 250 300 350 A(m)...
Trials
1
2
3
4
5
6
Mass m(kg)
100
150
200
250
300
350
A(m)
0.0248
0.0155
0.0306
0.0330
0.0312
0.0682
B(rad/s)
9.50
7.89
6.85
6.17
5.65
5.25
C(rad)
3.29
0.352
4.60
3.57
4.00
4.71
T(s)
f (Hz)
Question: Using your values of A, B, and C determine the
frequency and period of oscillation. Record the period T
and frequency f of this motion in your data table; show
work.
1)x = (9.2 m) cos[(5πrad/s)t + π/4 rad] gives the simple harmonic motion of a body....
1)x = (9.2 m) cos[(5πrad/s)t + π/4
rad]
gives the simple harmonic motion of a body. At t = 2.1 s,
what are the (a) displacement,
(b) velocity, (c) acceleration,
and (d) phase of the motion? Also, what are the
(e) frequency and (f) period of
the motion?
2) An oscillating block-spring system takes 0.746 s to begin
repeating its motion. Find (a) the period,
(b) the frequency in hertz, and
(c) the angular frequency in radians per
second.
A 1.3-kΩ resistor and 26.3-mH inductor are connected in series to a Vrms = 120 V...
A 1.3-kΩ resistor and 26.3-mH inductor are connected in series
to a Vrms = 120 V AC power source oscillating
at a frequency of f = 60 Hz. The voltage as a function of
time is given by
V = V0cos(ωt),
where V0 is the amplitude, ω is the
angular frequency.
Part (a) What is the amplitude of the source
voltage, in volts?
Part (b) Enter an expression for the impedance
of the circuit in terms of R, L, f,...
QUESTION 18 1. A magnetic field is perpendicular to the plane of a rectangular cable with...
QUESTION 18
1. A magnetic field is perpendicular to the plane of a
rectangular cable with dimensions 0.15 m x 0.30 m that has 120
turns. To induce an average "emf" of -1.2 V in the cable, the
magnetic field is increased from 0.1 T to 1.5 T in a time interval
t. Determine t
a. 0.053 s
b. 1.6 s
c. 7.6 s
d. 6.3 s
e. 0.13 s
QUESTION 19
1. When a radio telescope observes a region...
6. Consider a causal linear system whose (zero-state) response to an input signal, f(t) = e...
6. Consider a causal linear system whose (zero-state) response
to an input signal, f(t) = e −3tu(t), is y(t) = (−e −t + 4e −2t −
3e −3t )u(t). (
a) Find the transfer function H(s) of the system.
(b) Write the differential equation that describes the
system.
(c) Plot the pole-zero diagram of system. Is the system
stable?
(d) Plot the frequency response of the system, |H(w)|.
(e) Whats the systems zero-state response to another input
signal, f1(t) =...
The function y(x,t) = 0.3 sin( 2 π t -2 π x + π /4) represents...
The function y(x,t) = 0.3 sin( 2 π t -2 π x + π /4) represents
the vertical position of an element of a taut string upon which a
transverse wave travels. This function depends on the horizontal
position along the string, x, and time, t. y and x are in units of
meters and t is in units of seconds. Do not use symbols in any of
your answers below. Only use integers or decimals.
a. Determine the angular...
Assessment Identify the Variables! In rotational kinematics - the variables are: t = time, which is...
Assessment
Identify the Variables!
In rotational kinematics - the variables are:
t = time, which is measured in s (for seconds)
θ = angle = what angle did the object turn thru, usually
measured radians
ωO = initial angular velocity = the rotational speed
of the object at the beginning of the problem, which is measured in
rad/s
ω = final angular velocity = the rotational speed of the object
at the end of the problem, which is measured in...
ADVERTISEMENT
Need Online Homework Help?
Get Answers For Free
Most questions answered within 1 hours.
ADVERTISEMENT
Active Questions
asked 5 minutes ago
asked 9 minutes ago
asked 19 minutes ago
asked 19 minutes ago
asked 42 minutes ago
asked 47 minutes ago
asked 50 minutes ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago
asked 1 hour ago