We can model the motion of a dragonfly's wing as simple harmonic motion. The total distance between the upper and lower limits of motion of the wing tip is 1.0 cm. The wing oscillates at 40 Hz. What is the maximum speed of the wing tip?

The maximum speed of the wing tip is 1.25 m/s

Explanation:

In simple harmonic motion, the body experiences a restoring force whose magnitude is directly proportional to the distance from its mean position and its direction is towards the mean position.

The speed in the case of simple harmonic motion is given by the equation :

v = Aωsinωt

Here A is maximum displacement, t is time and ω is the angular frequency of oscillation.

For maximum speed, sinωt = 1 . So, the above equation becomes:

v = Aω

But, ω = 2πf , here f is the frequency of oscillation. So,

v = A x 2πf      .....(1)

In this problem,

Frequency of oscillation, f = 40 Hz

Total distance between the upper and lower limits of motion of wing tip is equal to the twice of maximum displacement of the wing tip from the equilibrium position, i.e. ,

2 x A = 1 cm

A = 0.5 cm = 0.5 x 10⁻² m

Substitute the value of f and A in equation (1).

v = 1.25 m/s

answer: what are you talking about?

explanation:

  1.the balanced   chemical equation is as below

cu +   2 ag(no)₃ → cu(no₃)₂   +2 ag

2.the   much silver   produced   is   50.9 g

step 1: find the   moles of cu

moles =   mass÷   molar mass

  from periodic table the molar mass of cu = 63.5 g/mol

moles is therefore = 15.00 g÷ 63.5 g/mol = 0.236   moles

step 2: use the mole ratio to determine the   moles of ag

from equation above   cu: ag   is 1: 2

therefore the moles of ag   =0.236   moles   x 2/1 =0.472   moles

step 3: find the mass   of ag

mass = moles x molar mass

from periodic table   the molar mass of ag =107.87 g/mol

mass   = 0.472   moles x 107.87 g/mol = 50.9 g

3.   the   much   silver   collected worth is   1.797 oz

  convert   50.9 g   to oz

that is   1 gram = 0.0353 oz

          50.9 grams =?   oz

by cross multiplication

={(50.9 grams x 0.0353 oz) / 1   gram}   =1.797 oz