SOLUTION: The height h (x) in centimetres of the tooh of a blade on a road-saw as it rotates x degrees is given by the function: h(x( = 60 sinx + 10 a) what is the diameter of the blade?

Question 926488: The height h (x) in centimetres of the tooh of a blade on a road-saw as it rotates x degrees is given by the function: h(x( = 60 sinx + 10
a) what is the diameter of the blade?
b) what is the maximum dept of the cut made by the blade?
c) what is the depth of the cut made by a blade (correct to the nearest tenth of a cm) when it has rotated
1) 30 degrees 2) 135 degrees 3) 240 degrees.
Thanks.
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The height h (x) in centimetres of the tooh of a blade on a road-saw as it rotates x degrees is given by the function: h(x) = 60 sinx + 10
a) what is the diameter of the blade?
120 cm
------
b) what is the maximum dept of the cut made by the blade?
50 cm
------
c) what is the depth of the cut made by a blade (correct to the nearest tenth of a cm) when it has rotated
1) 30 degrees 2) 135 degrees 3) 240 degrees.
Angles measured from where? The direction of rotation shoule be stated, too.
You can sub the angles into the function, but it's not clear without a reference starting point.
---
Doing this implies the angles are measured from the horizontal.
h(x) = 60sin(x) + 10
h(30) = 60*0.5 + 10 = 40 cm
-------
135 & 240 degrees are past the bottom of the cut --> depth = 60 + 10 = 70 cm
======================================
This problem is not well defined. It's likely that the +10 cm is the diameter of the hub of the saw.
No reference angle is given. If the angles are those of the x-y plane, then the tooth would be in the air at 30 degs and at 135 degs.
The max depth would be 60 - 10 = 50 cm, not 70. That implies the angles are measured from the vertical, a contradiction.
=====
More info is needed.
----
RELATED QUESTIONS
The blade on a table saw rotates at 3450 revolutions per minute. How much faster (in... (answered by Alan3354)

A large circular saw blade with a 1-foot radius is mounted so that exactly half of it... (answered by CPhill)

The blade on a typical table saw rotates at 3200 revolutions per minute. Calculate the... (answered by josgarithmetic)

The blade on a typical table saw rotates at 3100 revolutions per minute. What is the... (answered by josgarithmetic,math_helper)

A large circular saw blade with a 1-foot radius ismounted so that exactly half of it... (answered by ikleyn)

The height of a piston in an engine can be determined by the function... (answered by Alan3354)

The height (h) in centimetres of Harry's pogo stick from the ground as he jumps on it... (answered by ikleyn)

The height,h, in meters, above the ground of a cart as a ferris wheel rotates can be... (answered by math_tutor2020)

The blade of a typical table saw rotates at 3550 revolutions per a min. Calculate the... (answered by lwsshak3)