1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
s2008m [1.1K]
3 years ago
5

Find the period of the leg of a man who is 1.83 m in height with a mass of 67 kg. The moment of inertia of a cylinder rotating a

bout a perpendicular axis at one end is ml2/3. ________________________ sec The pace of normal walking (3.0 mi/hr) is close to the natural frequency of the leg because the most efficient frequency to "drive" a system is the natural frequency. It takes less effort to walk at this rate.
Physics
1 answer:
Lady bird [3.3K]3 years ago
3 0

Answer:

1.54 s

Explanation:

Considering that the legs constitute 16% of the total weight of the man then mass, m= \frac {16}{100}\times 67=10.72 Kg

The legs also constitute 48% of his height hence H=\frac {48}{100}\times 1.83=0.8784 m

The moment of inertia of a cylinder rotating about a perpendicular axis at one end is \frac {ml^{2}}{3} hence I=\frac {10.72\times 0.8784^{2}}{3}=2.757135974Kg.m^{2}

We also know that the period is given by 2\pi \sqrt{\frac {I}{mgh}}

Here, h=0.5H= 0.5*0.8784=0.4392 m

Taking g as 9.81 kg/m2 then

T= 2\pi \sqrt{\frac {2.757135974}{10.72\times 9.81\times 0.4392}}\\=1.535132615 s\\\boxed{\approx 1.54 s}

You might be interested in
A motorcycle begins at rest and accelerates uniformly S7.9 we want to find a time to take the motorcycle to reach a speed of 100
Len [333]

The motorbike reaches 100 km/h in 3.5 seconds

Explanation:

The motion of the motorbike is a uniformly accelerated motion (= constant acceleration), therefore we can use the following suvat equation:

v=u+at

where

v is the final velocity

u is the initial velocity

a is the acceleration

t is the time

For the motorbike in this problem,

u = 0 (it starts from rest)

v = 100 km/h = 27.8 m/s is the final velocity

a=7.9 m/s^2 is the acceleration

Solving for t, we find the time it takes for the bike to reach that velocity:

t=\frac{v-u}{a}=\frac{27.8-0}{7.9}=3.5 s

Learn more about accelerated motion:

brainly.com/question/9527152

brainly.com/question/11181826

brainly.com/question/2506873

brainly.com/question/2562700

#LearnwithBrainly

6 0
3 years ago
The aorta is approximately 25 mm in diameter. The mean pressure there is about 100 mmHg and the blood flows through the aorta at
Ksenya-84 [330]

Answer:

Explanation:

25 mm diameter

r₁  = 12.5 x 10⁻³ m radius.

cross sectional area =  a₁

Pressure P₁  = 100 x 10⁻³ x 13.6 x 9.8 Pa

a )

velocity of blood v₁ = .6 m /s

Cross sectional area at blockade = 3/4 a₁

Velocity at blockade area = v₂

As liquid is in-compressible

a₁v₁ = a₂v₂

a₁ x .6 m /s  = 3/4 a₁ v₂

v₂ = .8m/s

b )

Applying Bernauli's theorem formula

P₁ + 1/2 ρv₁² =  P₂ +  1/2 ρv₂²

100 x 10⁻³ x 13.6 x10³x 9.8 + 1/2 X 1060 x .6² = P₂ +  1/2x 1060 x .8²

13328 +190.8 = P₂ + 339.2

P₂ = 13179.6 Pa

= 13179 / 13.6 x 10³ x 9.8 m of Hg

P₂ =  .09888 m of Hg

98.88 mm of Hg

8 0
3 years ago
Two long parallel wires are placed side-by-side on a horizontal table. if the wires carry current in opposite directions,
STatiana [176]
\vec F = I (\vec L \times  \vec B)

if currents go in opposite directions, wires repel
3 0
2 years ago
Which equation below represents a generic equation suggested by a graph showing a hyperbola?
ruslelena [56]

Answer:

y = k/x

Explanation:

y = k/x is a graph of a hyperbola that has been rotated about the origin.

8 0
3 years ago
How fast can Usain Bolt run if it takes him 9.9 s to run 100m?​
Arte-miy333 [17]

Answer:

27.8 mph

Explanation:

May I have brainliest please? :)

8 0
2 years ago
Read 2 more answers
Other questions:
  • You are part of a searchand- rescue mission that has been called out to look for a lost explorer. You’ve found the missing explo
    8·2 answers
  • The compound PCl5 decomposes into Cl2 and PCl3. The equilibrium of PCl5(g) Cl2(g) + PCl3(g) has a Keq of 2.24 x 10-2 at 327°C. W
    5·2 answers
  • Your teacher had not exercised since the beginning of distance learning. She decided to exercise by walking in the park. The par
    11·1 answer
  • How would I answer this equation? E= mc^2 for m
    15·1 answer
  • Using definitions and examples compare chemical and physical changes.
    8·1 answer
  • A tank is 10 m long, 6 m wide, 3 m high, and contains kerosene with density 820 kg/m3 to a depth of 2.5 m. (Use 9.8 m/s2 for the
    12·2 answers
  • When training to increase physical fitness, adaptation occurs....
    7·2 answers
  • A boulder of mass 10 kg rolls over a cliff and reaches the beach below with a velocity of 15 m/s. Find:
    9·1 answer
  • Hydrogen and oxygen react to form water. At an atomic level, how do we know that a chemical reaction has occurred?
    5·1 answer
  • The resistivity of
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!