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Kay [80]
3 years ago
13

A simple harmonic oscillator completes 1550 cycles in 30 min. (a) Calculate the period. s (b) Calculate the frequency of the mot

ion. Hz
Physics
1 answer:
nordsb [41]3 years ago
6 0

Answer:

(a) 1.16 s

(b)0.861 Hz

Explanation:

(a) Period : The period of a simple harmonic motion is the time in seconds, required for a object undergoing oscillation to complete one cycle.

From the question,

If 1550 cycles is completed in (30×60) seconds,

1 cycle is completed in x seconds

x = 30×60/1550

x = 1.16 s

Hence the period is 1.16 seconds.

(b) Frequency : This can be defined as the number of cycles that is completed in one seconds, by an oscillating body. The S.I unit of frequency is Hertz (Hz).

Mathematically, Frequency is given as

F = 1/T ........................... Equation 1

Where F = frequency, T = period.

Given: T = 1.16 s.

Substitute into equation 1

F = 1/1.16

F = 0.862 Hz

Hence thee frequency = 0.862 Hz

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How long will it take a 2190 W motor to lift a 1.47 x 104 g box, 6.34 x 104 mm vertically.​
Rasek [7]

Answer:

t = 4.17 [s]

Explanation:

We know that work is defined as the product of force by distance.

W = F*d

where:

F = force [N] (units of Newtons)

d = distance = 6.34 x 10⁴ [mm] = 63.4 [m]

In order to find the force, we must determine the weight of the box, the weight can be determined by means of the product of mass by gravitational acceleration.

w = m*g

where:

m = mass = 1.47 x 10⁴ [g] = 14.7 [kg]

g = gravity acceleration = 9.81 [m/s²]

w = 14.7*9.81

w = 144.2 [N]

Therefore the work can be calculated.

W = w*d

W = 144.2*63.4

W = 9142.72 [J] (units of Joules)

Power is now defined in physics as the relationship of work at a given time

P = W/t

where:

P = power = 2190 [W]

t = time [s]

Now clearing t, we have.

t = W/P

t = 9142.72/2190

t = 4.17 [s]

6 0
3 years ago
How far will a car travel in 4 hours at 40 mph? Use one of the following to find the answer.
Aleks [24]

Answer:

1600 miles

Explanation:

4x400=1600

5 0
2 years ago
A 2kg object weighs 19.6N on earth. If the acceleration due to gravity on mars is 3.71 meters per second what is the object mass
Gre4nikov [31]
The acceleration due to gravity at the Earth's surface is 9.8 m/s/s 

<span>So a 2 kg object will accelerate at 9.8 m/s/s if it is dropped..... actually all dropped objects will accelerate at the same rate. </span>

<span>The force of gravity on the object is given by Newton's 2nd Law </span>

<span>F = m . a </span>

<span>F = 2 . 9.8 = 19.6 N </span>

<span>Now go to Mars , with a lower gravitational field strength. It only accelerates falling objects at 3.71 m/s/s </span>

<span>So the force of gravity on the object is F = 2 . 3.71 = 7.42 N </span>

<span>But the answer is (2) 2 kg, because the mass of the object stays the same and that is what you are asked for. </span>
<span>Someone was trying to be tricky.</span>
3 0
3 years ago
jack and his family go to the movies first they eat lunch at 1:30 pm it takes 40 minutes to eat then the movie then they drive 2
BabaBlast [244]
The answer would be 2:25
8 0
3 years ago
Read 2 more answers
A 3.25 kg block is sent up a ramp inclined at an angle theta=33.5° from the horizontal. It is given an initial velocity ????0=15
Annette [7]

Answer:

x=13.005m

Explanation:

The kinetic friction μk=0.397 is when the motion is development so:

F_{k}=u*m*g\\F_{k}=u* m*g cos(33.5)\\F_{k}=0.397*3.25kg*9.8\frac{m}{s^{2}}*cos(33.5)\\F_{k}=10.54 N

The net force of the motion is the relation of component of block weight acting parallel to ramp and against block's motion

F_{m}=m*g*sen (33.5) \\F_{m}=3.25kg*9.8\frac{m}{s^{2}}*sen(33.5)\\F_{m}=17.57N

The net force of the motion is :

F_{t}=F_{k}+F_{c}\\F_{t}=10.54N+17.57N\\F_{t}=28.11 N

The total force is the relation of mass and acceleration so, can find the acceleration to determinate the distance the block go far after the motion

F=m*a\\a=\frac{F}{m}\\a=\frac{28.11N}{3.25kg}\\a=8.65 \frac{m}{s^{2}}

v_{f} ^{2}=v_{o} ^{2}+2*a*x\\x=\frac{v_{f} ^{2}-v_{o}^{2}}{2*a}\\x=\frac{0^{2}-15^{2}}{2*8.65}\\x=13.005 m

4 0
3 years ago
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