At what frequency would you expect the web to vibrate if an insect of mass 0.52 g were trapped? Hint: use stiffness constant found in part 1. Hint: after the insect is trapped, the mass of the oscillator has increases by insect's mass, so the mass in the formula for natural frequency also has changed.
Hz
To find the frequency at which the web would vibrate after an insect is trapped, we will need some information.
First, we need the stiffness constant (k) of the web. The stiffness constant can be obtained from part 1 of the problem or from other given information.
Next, we need to calculate the new effective mass of the web after the insect is trapped. The effective mass is the sum of the original mass of the web and the mass of the trapped insect.
Let's assume the original mass of the web is m1 and the mass of the trapped insect is m2. We are given that the mass of the insect is 0.52 g.
Now, the new effective mass (m_eff) can be calculated as:
m_eff = m1 + m2
Once we have the stiffness constant (k) and the effective mass (m_eff), we can calculate the new frequency (f) using the formula for the natural frequency of an oscillator:
f = 1 / (2π) * √(k / m_eff)
Substituting the given values into the formula should give us the frequency at which the web would vibrate.