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
MissTica
3 years ago
12

The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, the square of the depth, d, and invers

ely as the length, l. A wooden beam 3in. wide, 6in. deep, and 11ft long holds up 1213lb. What load would a beam 6in. wide, 3in. deep and 12ft long of the same material support? (Round off your answer to the nearest pound.)
Physics
1 answer:
soldier1979 [14.2K]3 years ago
6 0

Answer:

L' = 555.95 lb

Explanation:

Analyzing the given conditions in the question, we get

The safe load, L is directly proportional to width (w) and square of depth (d²)

 also,

L is inversely proportional length (l) i.e L = k/l

combining the above conditions, we get an equation as:

 L = k(wd²/l)

 now, for the first case we have been given

w = 3 in

d = 6 in

l = 11 ft

L = 1213 lbs

 thus,

1213 lb = k ((3 × 6²)/11)

or

k = 123.54 lbs/(ft.in³)  

Now,

Using the calculated value of k to calculate the value of L in the second case  

in the second case, we have

w = 6 in

d =3 in

l = 12 ft

Final Safe load L' =  123.54 × (6 × 3²/12)

or

L' = 555.95 lb

You might be interested in
A spiral staircase winds up to the top of a tower in an old castle. To measure the height of the tower, a rope is attached to th
boyakko [2]

Answer:

8.76762 m

Explanation:

T = Time period = 5.94 seconds

g = Acceleration due to gravity = 9.81 m/s²

L = Length of pendulum = Height of tower

Time period is given by

T=2\pi \sqrt{\dfrac{L}{g}}\\\Rightarrow T^2=4\pi^2\dfrac{L}{g}\\\Rightarrow L=\dfrac{T^2g}{4\pi^2}\\\Rightarrow L=\dfrac{5.94^2\times 9.81}{4\pi^2}\\\Rightarrow L=8.76762\ m

The height of the tower is 8.76762 m

8 0
3 years ago
If the roller coaster car in the above problem were moving with twice the speed(20m/s), then what would be its new kinetic energ
Diano4ka-milaya [45]

Answer:

KE = 1.05 x105 Joules

Explanation:

KE = 4 * (1.04653 x 105 J) = 4.19 x 105 Joules.

4 0
2 years ago
Place a beaker covering its free surface with a paper over a coin as shown in the figure- 1. The coin can be seen through the si
pochemuha

Answer:

bonjour

Explanation:

bye

3 0
2 years ago
Mary walked north from her home to Sheila's home, which is 4.0 kilometers away. Then she turned right and walked another 3.0 kil
bixtya [17]
The answer is speed: 4.7 km/h, velocity: 3.3 km/h.

Distances and time are given:
d1 =  4 km
d2 = 3 km
d3 = 5 km
t = 1.5 h

The speed can be expressed as a distance (d) divided by time (t). The average speed (s) is total distance travelled divided by time:
s = (d1 + d2)/t = (4+3)/1.5 = 7/1.5 = 4.7 km/h

The average velocity (v) is total displacement (d₁) from the starting point divided by time. Since Mary's starting point was home, and she walked to the supermarket, which is 5.0 kilometers from her own home, her displacement is 5 km:
v = d₁/t = 5/1.5 = 3.3 km/h

8 0
3 years ago
20.
sveticcg [70]

Answer:

I believe the answer is A and D.

I am unsure of C.

4 0
3 years ago
Read 2 more answers
Other questions:
  • An iron ball and an aluminum ball of mass 100 g each are heated to the same temperature and then cooled to a temperature of 20°C
    8·1 answer
  • I only need the answer to #21
    6·1 answer
  • A zinc atom loses 3electron to become a zinc oin
    15·1 answer
  • In which kingdoms are all organisms multicellular
    6·1 answer
  • The table shows the potential energy and kinetic energy of a skier at two different positions on a hill.
    6·2 answers
  • Where is the Ring Of Fire located?
    13·2 answers
  • Give two advantages and disadvantages each of renewable and non renewable sources of energy
    14·2 answers
  • What type of system is earth?<br> A.Closed<br> B.Open<br> C.Connected<br> D.Isolated
    12·1 answer
  • A baseball on the Moon and an identical baseball on the Earth are thrown vertically upward with the same initial velocity of 12
    11·1 answer
  • An airplane with a total mass of 950 kg has an engine malfunction, causing it
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!