Angular deceleration of a circular saw blade

In summary, angular deceleration is the rate at which the angular velocity of a circular object decreases over time, measured in radians per second squared. It is caused by external forces such as friction and air resistance, and can be calculated by dividing the change in angular velocity by the change in time. Factors that can affect it include the mass, shape, and speed of the blade, as well as the material being cut and the condition of the saw's bearings. To reduce angular deceleration, it is important to minimize external forces and use a sharp and properly maintained blade, cut at a reasonable speed, and keep the saw's bearings in good condition. A more powerful motor and choosing the right blade can also help.
  • #1
Tikki
3
0
Homework Statement
If a circular saw blade is spinning at a rate of 6.57 revolutions per second, what is the magnitude of the (constant) angular acceleration that needs to be applied on the saw blade to bring it to rest in 17.2 revolutions?
Relevant Equations
theta = no of revs * 2pi
w^2=2a(theta)
I tried the formula I showed up there but got 0.399 instead of 7.88rad/s^2.
 
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  • #2
What number did you use for w?
 
  • #3
kuruman said:
What number did you use for w?
6.57rads/s
 
  • #4
Tikki said:
6.57rads/s
wait a min?
 
  • #5
Tikki said:
wait a min?
Yup, it is given in revolutions per second.
 
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