Which scenario would result in a positive population growth? Use this formula: population growth = (birth rate + immigration) –
2 answers:
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We make a graphic of this problem to define the angle.
The angle we can calculate through triangle relation, that is,
With this function we should only calculate the derivate in function of c
That is the rate of change of .
b) At this point we need only make a substitution of 0 for c in the equation previously found.
Hence we have finally the rate of change when c=0.
Answer:
v = 0.5 m/s
f = 0.42 Hz
ω = 2.6 rad/sec
Explanation:
- By definition, the translational speed is the rate of change of the position with respect to time.
- The change in position along a complete revolution is just the following:
- Δs = 2*π*r = 2*π*0.19 m = 1.19 m
- The time needed to complete a revolution is 2.4 s, so the translational speed can be written as follows:
- The frequency in Hz is just the inverse of the time needed to complete a revolution (known as the period T), as follows:
- f = 1/T = 1/2.4s = 0.42 Hz (2)
- Finally, the angular speed is the rate of change of the angle rotated with respect to time, as follows: