Scenario:

You work as an engineer for a company that repairs marine and aero engines. You have been asked to investigate a number of issues and you have been given access to a range of data. Your manager has asked you to analyse all of the data produced in order to present this to non-technical colleagues within the organisation.

Activity:

Part 1: 

Data has been gathered from a lifting system used to transport engine parts. The system consists of a drum and cable. The following data was obtained when the drum lowers the load (assume constant acceleration).

Drum diameter = 0.8m

Mass of load = 3kg

Initial velocity = 0 m/s

Time to descend = A secs

Drum rotates exactly twice in the time.

You have been asked to use this information to determine: 

a) The final linear velocity of the load

b) The linear acceleration of the load

c) The final angular velocity of the drum

d) The angular acceleration of the drum

e) The tension force in the cable

f) The torque applied to the drum

In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous.

From the formulae used (above) you should apply dimensional analysis techniques to develop two equations for power (in terms of linear velocity and angular velocity).