Rotation Dynamics mastering physics 10.32

Click For Summary
SUMMARY

The discussion focuses on calculating the work done by an airplane propeller with a length of 2.08 m and a mass of 117 kg, subjected to a constant torque of 1950 Nm. After 5 revolutions, the correct formula for work is established as W = Torque × Angle, where the angle is calculated as 5 × 2π radians. The average power is derived from the formula P = Torque × Angular Velocity, with the angular velocity determined to be 53.9 rad/s. The initial calculations were incorrect, prompting a reevaluation of the formulas used.

PREREQUISITES
  • Understanding of rotational dynamics concepts
  • Familiarity with torque and its units (Nm)
  • Knowledge of angular displacement and its calculation
  • Basic principles of power in rotational systems
NEXT STEPS
  • Study the relationship between torque and angular displacement in rotational motion
  • Learn how to calculate work done in rotational systems
  • Explore the derivation of average power in rotational dynamics
  • Investigate the implications of mass and length on rotational inertia
USEFUL FOR

Physics students, mechanical engineers, and anyone interested in mastering concepts of rotational dynamics and power calculations in mechanical systems.

wku_tops
Messages
8
Reaction score
0
An airplane propeller is 2.08 m in length (from tip to tip) and has a mass of 117 kg. When the airplane's engine is first started, it applies a constant torque of 1950 Nm to the propeller, which starts from rest.

How much work in joules is being done after 5 revolutions?

This is what I did: (1.04*1950)*(5*2*pi). Mastering physics says it is close, but not correct.
 
Physics news on Phys.org
figured that out: (1950)*(5*2pi)
Now I need to calculate the average power. power=T_z*w_z
=1950 Nm *53.9 rads/s.

mastering physics says this is incorrect. Any ideas?
 

Similar threads

How Is the Average Power Output Calculated for an Airplane Propeller?
  • · Replies 1 ·
Replies
1
Views
1K
Propeller Rotation Problem - Please check
  • · Replies 3 ·
Replies
3
Views
6K
Question about springs and rotational/translational energy
  • · Replies 4 ·
Replies
4
Views
2K
Rotating rod of negligible mass attached to two point masses
  • · Replies 19 ·
Replies
19
Views
4K
What is the torque exerted by the flywheel on the machine?
  • · Replies 5 ·
Replies
5
Views
4K
Solve Propeller Problem: Average & Instantaneous Power Output
  • · Replies 1 ·
Replies
1
Views
14K
Calculate center of rotation of monocopter
  • · Replies 17 ·
Replies
17
Views
2K
How High Must a Propeller Fall to Match Its Rotational Energy?
  • · Replies 3 ·
Replies
3
Views
4K
Rotational Dynamics of a Grindstone
  • · Replies 6 ·
Replies
6
Views
2K
Intuition on the direction of friction in a rotational dynamics problem
  • · Replies 13 ·
Replies
13
Views
2K