Answer:
2.2 s
Explanation:
Using the equation for the period of a physical pendulum, T = 2π√(I/mgh) where I = moment of inertia of leg about perpendicular axis at one point = mL²/3 where m = mass of man = 67 kg and L = height of man = 1.83 m, g = acceleration due to gravity = 9.8 m/s² and h = distance of leg from center of gravity of man = L/2 (center of gravity of a cylinder)
So, T = 2π√(I/mgh)
T = 2π√(mL²/3 /mgL/2)
T = 2π√(2L/3g)
substituting the values of the variables into the equation, we have
T = 2π√(2L/3g)
T = 2π√(2 × 1.83 m/(3 × 9.8 m/s² ))
T = 2π√(3.66 m/(29.4 m/s² ))
T = 2π√(0.1245 s² ))
T = 2π(0.353 s)
T = 2.22 s
T ≅ 2.2 s
So, the period of the man's leg is 2.2 s
Answer:
Therefore % increase in velocity is 18.23 %
Explanation:
we use the equality of mass flow rate and the areas
The percentage increase in velocity is
Δ v% = 
100%
= 
.100%
= 
. 100%
= Therefore % increase in velocity is 18.23 %
Given:
Horizontal distance between two boats = x = 14 m
One boat is at trough, the other is at crest.
As there is no crests between them meaning the boat are next to each other.
Wavelength is the distance between two consecutive crests/troughs = w
The distance between a crest and a trough next to it = w/2
Complete cycles = c = 5
Time taken for c cycles = t = 15 s
Vertical distance between two boats = y = 2.4 m
To find:
wavelength = w = 2x = 28 m
Amplitude = A = Displacement from mean to extreme position = y/2 = 1.2 m
Time period for one cycle = T = t/c = 15/5 = 3 s/cycle
frequency = 1/T = 1/3 = 0.33 hertz
speed = wavelength/Period = w/T = 28/3 = 9.33 m/s
Looking back at the evolution of humans, we are most closely related to chimpanzees, credited to opposable thumbs
The following enumeration is the list of actions which are
considered to be illegal when operating your boat:
1
Operating
the boat in a harsh or inconsiderate manner
2
Operating
the boat in the absence of safety equipment
3
Actual
weight exceeds the carrying capacity of the boat
4
Not
prohibiting the riders to sit on gunwales,
transom, stern, sides, bow or decking over the bow sides when the boat is
underway, except when sufficient guards or railings are provided
5
Operating
the boat or giving permission to other people to operate the boat while drunk
or under illegal substances
6
Operating
the boat and the wash or wake endanger any property or person
7
Operating
the boat in an area designated for swimming
8
Operating
the boat beyond a slow, no wake
speed in locations marked as no wake zones
We can see that in this case, the rule # 6 is being trespassed.
Therefore under Minnesota Boating Laws, we have committed an Illegal Operating
Practice.
