Question

A unit that is equal to 33 000 ft-lbs/min or 550 ft-lbs/s is the

Answer 1

1.

Answer:

Horsepower

Explanation:

As we know that "lb" is the unit of force

"ft" is the unit of distance

so here it is "ft-lb/ s" so it is product of force and distance and then divided by time

so it is work done per unit time which is power

so unit of power is given by Horsepower

2.

Answer:

The work done is 36456 J

Explanation:

Length of each corridor = 14.33 m

total distance moved in three corridors = 3(14.33) = 42.99 m

Force applied = 848 N

So work done to move through the corridors is given as

$W = F.d$

$W = 848 \times 43 = 36456 J$

3.

Answer:

The velocity will be 0.14 m/s

Explanation

Average velocity is the ratio of total distance and total time.

Here total distance moved in three corridors will be

$d = 42.99 m$

total time is given as

$t = 5\times 60 = 300 s$

so average velocity will be

$v = \frac{42.99}{300} = 0.14 m/s$

4.

Answer:

Centripetal acceleration = 0.54 m/s^2

Explanation:

As we know that centripetal acceleration is given as

$a_c = \frac{v^2}{R}$

now we have

$v = 0.57 m/s$

$R = 0.6 m$

now we have

$a_c = \frac{0.57^2}{0.6} = 0.54 m/s^2$

5.

Answer:

The answer is 46.67 m/min

Explanation:

As we know that tangential speed is given by

$v = \frac{2\pi r}{t}$

here we have

$r = 3.79 m$

$t = 0.51 min$

now we have

$v = \frac{2\pi(3.79)}{0.51}$

$v = 46.47 m/min$

6.

Answer:

Distance traveled = 23.8 m

Explanation:

As we know that distance traveled in one complete revolution is given as

$d = 2\pi r$

$d = 2\pi(3.79)$

$d = 23.8 m$

so distance traveled will be 23.8 m

7.

Answer:

Power = 245 Watts

Explanation:

As we know that power is defined as rate of work done

so we will have

$P = \frac{W}{t}$

here we have

$W = mgh$

now we will put all the values in it

$P = \frac{50(9.81)(1)}{2}$

$P = 245 Watt$

Answer 2

Answer to Q1:

A unit that is equal to 33 000 ft-lbs/min or 550 ft-lbs/s is the  horsepower

Explanation:

Prefix or symbol for horsepower is: hp

Prefix or symbol for foot pound per minute is: ft-lb/min.  

One horsepower converted into foot pound per minute equals = 33,000.00 ft-lb/min

1 hp = 33,000.00 ft-lb/min

So horsepower is the correct answer

Answer to Q2:

The work done is 36456 J

Explanation:

Length of corridor = 14.33 m

Length of 3 corridors = 14.33 x 3 = 42.99

And,

Force = 848

As we know Work = Force x Displacement

Work = 848 x 42.99 = 36456 J

Answer to Q3:

The velocity will be 0.14 m/s

Explanation:

Since the length is given as 42.00 in the previous questions so we will use the same length

Now the time given is 5 minutes which is equal to 300 seconds

As we know velocity = distance / time

Velocity = 42.99 / 300

Velocity = 0.14 m/s

Answer to Q4:

Centripetal acceleration = 0.54 m/s^2

Explanation:

The centripetal acceleration is given by V^2 / r

So centripetal acceleration = 0.57 / 0.6

Centripetal acceleration = 0.54 m/s^2

Therefore 0.54 is the correct answer

Answer to Q5

The answer is 46.67 m/min

Explanation:

From the question statement we observe that

r=3.79 m  and  t=.51 min

We have to find distance covered by a cog which is equal to the circumference of gears rotation.

d=2πr

d=2π(3.79)

d=23.8 m

so putting the values of d and t in the velocity formula we get

v=23.8/.51

v=46.67 m/min which is the answer.

Answer to Q 6

The answer is 23.8 m

Explanation:

From the question statement, we observe that

r=3.79 m

The distance is equal to the circumference of gears rotation.

So, the formula for distance is d=2πr

d=2π(3.79)

d=23.8 m which is the correct answer

Answer to Q 7

Power = 245 Watts

Explanation:

The power formula is  

P = Work / time

Here work = potential energy

Potential Energy = mgh

So  

Power = mgh / time

Power = 50 x 9.8 x 1 and divided by 2

Power = 490 / 2

Power = 245 Watts