Welcome :: Homework Help and Answers :: Mathskey.com

Recent Visits

    
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,435 questions

17,804 answers

1,438 comments

774,885 users

how to solve 1

0 votes
3. A conveyor belt drive placed at an inclination angle of 15 degrees has a length of 120m between the loading point and discharge point. The belt speed is 2,5m/s and is subjected to a friction force of 8,5kN. Assume the contact angle on the driving pulley to be 220 degrees. The coefficient of friction is 0,25 and the efficiency of the drive is 85%. The maximum tension in the belt is 27,49 kN. Calculate the quantity of rock transported in per tonne.
asked Nov 20, 2014 in PHYSICS by anonymous

1 Answer

0 votes

Contact Angle 'a' is 220° = 220 * (π/180) = 3.8397 radians

The relation between tension and contact angle is 

Where T1 is Maximum tension in the belt = 27.49 kN .

         a = contact angle =3.8397 radians

           µ is Coefficient of Friction = 0.25

image

image

image

Therefore the Tension in slight side is 10.526 kN

 

Effective Driving Force Fe = T1 - T2

Fe = 27.49 - 10.526

Fe = 16.964 kN

 

Therefore Total Force Acting in lifting the load is

F  = Effective Driving force - Frictional Force

F = 16.964 - 8.5 = 8.464 kN

 

For inclined planes the resultant force is 

F = mg sin ϴ + μ mg cos ϴ

Where ϴ is angle of inclination is = 15°

8.464 = m(g sin ϴ + μ mg cos ϴ)

8.464 = m(9.8 sin 15 + (0.25) (9.8) cos 15)

8.464 = m(2.536 + 2.366)

8464 = m(4.9025)

m = (8464)/(4.9025)

m = 1726 

The quantity of rock transported per tonne is 1726/1000 = 1.726 kg per ton.

 

answered Nov 20, 2014 by yamin_math Mentor
edited Nov 20, 2014 by bradely

Related questions

asked Nov 20, 2014 in PHYSICS by anonymous
asked Oct 28, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
asked Nov 20, 2014 in PHYSICS by anonymous
...