Please show all steps 1. A guitar is usually tuned from a single note. \'\'A\'\'

Question

Please show all steps 1. A guitar is usually tuned from a single note. ''A'', at a frequency of 440 Hz. What is the period of oscillation of the string? 2. A block oscillates on a spring with an amplitude of 15 cm. What would the amplitude be if the maximum kinetic energy is doubled? 3. Humans have a range of hearing between frequencies from about 20 Hz to 20 000 Hz. Mice have similar ears, hut the elements are physically much smaller. Would you expect mice to have a higher or lower frequency range than humans? 4. The graph below shows a position-time (or history) graph for a particle in SHM. a) What is the period of the oscillation? b) At what times is the particle moving to the right at maximum speed? c) At what times is the particle moving lo the left at maximum speed? d) At what times is the particle momentarily at rest?

Explanation / Answer

1.frequency n = 440 Hz , so the time period T = 1/n = 1 / 440 = 0.0022s

2. amplitude a = 15cm . energy is directly proportional to the square of the amplitude

E1 / E2 = a12 / a22 => given E2 = 2E1 so E1 / 2E1 = 15 x 15 / a22 we get a2 = 10.6cm

3. mice has higher frequency range.

4.a. 4s

b. 1s and 5s

c. 3s and 7s

d. 2s , 4s ,6s

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