In 1932, Albert Dremel of Racine, Wisconsin, created his rotary tool that has come to be known as a dremel. Suppose a dremel starts from rest and achieves an operating speed of 36,000 rev/min. If it requires 1.10 s for the tool to reach operating speed and it is held at that speed for 45.0 s, how many revolutions θ has the bit made? What is the average angular acceleration α1,z for the start‑up period? θ= rev α1,z= rad/s2 Suppose it requires another 8.10 s for the tool to return to rest. What is the average angular acceleration α3,z for the slow‑down period? How many revolutions θtot does the tool complete from start to finish? α3,z= rad/s2 θtot= rev
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
In 1932, Albert Dremel of Racine, Wisconsin, created his rotary tool that has come to be known as a dremel. Suppose a dremel starts from rest and achieves an operating speed of 36,000 rev/min.
If it requires 1.10 s for the tool to reach operating speed and it is held at that speed for 45.0 s, how many revolutions θ has the bit made? What is the average
Suppose it requires another 8.10 s for the tool to return to rest.
What is the average angular acceleration α3,z for the slow‑down period? How many revolutions θtot does the tool complete from start to finish?
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