If q 240 rad/s, what are T and f? How many cycles occur in 27 s? 2. If 56 000 cycles occur in 3.5 s, what is q?
Question
If q = 240 rad/s, what are T and f? How many cycles occur in 27 s?
- If
56,000cycles occur in3.5 s, what isq?
Solution
-
To find the period (T) and frequency (f) when angular velocity (q) is given, we use the following formulas:
T = 2π / q f = 1 / T
Given q = 240 rad/s, we can substitute this into the formulas:
T = 2π / 240 ≈ 0.0262 s f = 1 / 0.0262 ≈ 38.17 Hz
To find out how many cycles occur in 27 s, we multiply the time by the frequency:
Number of cycles = 27 s * 38.17 Hz ≈ 1030 cycles
-
To find the angular velocity (q) when the number of cycles and time are given, we use the formula:
q = 2π * (number of cycles / time)
Given 56 000 cycles occur in 3.5 s, we can substitute these values into the formula:
q = 2π * (56 000 / 3.5) ≈ 100 530 rad/s
Similar Questions
If v(t) = 300sin157t, how long does it take this waveform to complete 3 cycles?Group of answer choices20 ms120 ms40 ms10 ms
The open E-string on a guitar vibrates with a frequency of 83 Hz. How many cycles does it complete in 5.0 s? *1 point78 cycles88 cycl
The open E-string on a guitar vibrates with a frequency of 83 Hz. How many cycles does it complete in 5.0 s? *1 point78 cycles88 cycles415 cycles600 cycles
In AVR microcontroller, the machine cycle is of 1 clock period of crystal frequency.Group of answer choicesTrueFalse
A certain organism has 20 homologous chromosome pairs. How many sister chromatids would be present after S phase?Multiple choice question.0204080160
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.