Answer:
s = 90 m
a = 56 m/s²
Explanation:
I will ASSUME that your equation is silly as it reduces to V = 11t which is constant, and that you mean V = 9t² + 2t
Position is the integral of differential velocities
s =
s = 3t³ + t² | from 0 to 3
s = 3(3)³ + 3² - (0) = 90 m
acceleration is the derivative of velocity
a = v' = 18t + 2
a(3) = 18(3) + 2 = 56 m/s²
Permanent press setting is hotter than normal setting
Answer:
The length of the pipe A is = 0.4763 m & the length of the pipe B is 0.357 m
Explanation:
Fundamental frequency = 360 Hz
Velocity = 343
(a). Length of the pipe is given by
Put all the values in above equation we get
= 0.4763 m
(b). Given that
The third harmonic of organ pipe B = the second harmonic of pipe A
Thus
Put all the values in above formula we get
0.357 m
Therefore the length of the pipe A is = 0.4763 m & the length of the pipe B is 0.357 m
Answer:
The velocity = 5.82[m/s], Tension = 1.78 [N]
Explanation:
We can solve this problem using the principle of energy conservation and Newton's second law.
Here we can find an attached image of the pendulum with a free body diagram, where we can see the forces acting over the pendulum.
The initial data are:
The pendulum is released when the string is at 90° with respect to the vertical axis. Therefore the initial velocity is zero = 0, and the initial kinetic energy will be zero also.
The expression that defines the kinetic energy and the work is the following equation.
We take the reference point where the pendulum is matching the vertical axis. At this point the potential energy is zero and all the potential energy has been transformed into kinetic energy.
Now analyzing once again the expression deducted, we have:
In the free body diagram, we can see the forces and the equation to find the tension T. Especial attention must be seen to notice that the acceleration to find the tension in the equation should be the normal acceleration.
The normal acceleration is defined by:
Clearing the tension T, this value is 1.78 [N]