Question on differential coefficient as a rate measurer
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The question is as follows:
O is a given point and NP a given straight line upon which ON is the perpendicular. The radius OP rotates about O with constant angular velocity ω. Show that NP increases at the rate ω•ON•(sec NOP)^2
I do not know how to approach this question. Could somebody provide me hints as to where do i begin?
calculus derivatives
asked Nov 14 at 5:09
user182947
164
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up vote
0
down vote
favorite
The question is as follows:
O is a given point and NP a given straight line upon which ON is the perpendicular. The radius OP rotates about O with constant angular velocity ω. Show that NP increases at the rate ω•ON•(sec NOP)^2
I do not know how to approach this question. Could somebody provide me hints as to where do i begin?
calculus derivatives
asked Nov 14 at 5:09
user182947
164
Draw a diagram and using that, find a formula for the distance NP in terms of the angle NOP.
– William Elliot
Nov 14 at 6:56
I'm having trouble with how to find the rate of change of NP. I have to find it's change with respect to time right? Even so how do i inculde the ω within the equations
– user182947
Nov 14 at 7:06
The velocity of N is radius × angular velocity measured in radians/sec.
– William Elliot
Nov 14 at 22:57
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
The question is as follows:
O is a given point and NP a given straight line upon which ON is the perpendicular. The radius OP rotates about O with constant angular velocity ω. Show that NP increases at the rate ω•ON•(sec NOP)^2
I do not know how to approach this question. Could somebody provide me hints as to where do i begin?
calculus derivatives
asked Nov 14 at 5:09
user182947
164
The question is as follows:
O is a given point and NP a given straight line upon which ON is the perpendicular. The radius OP rotates about O with constant angular velocity ω. Show that NP increases at the rate ω•ON•(sec NOP)^2
I do not know how to approach this question. Could somebody provide me hints as to where do i begin?
calculus derivatives
calculus derivatives
asked Nov 14 at 5:09
user182947
164
asked Nov 14 at 5:09
user182947
164
asked Nov 14 at 5:09
user182947
164
asked Nov 14 at 5:09
user182947
164
asked Nov 14 at 5:09
user182947
164
164
Draw a diagram and using that, find a formula for the distance NP in terms of the angle NOP.
– William Elliot
Nov 14 at 6:56
I'm having trouble with how to find the rate of change of NP. I have to find it's change with respect to time right? Even so how do i inculde the ω within the equations
– user182947
Nov 14 at 7:06
The velocity of N is radius × angular velocity measured in radians/sec.
– William Elliot
Nov 14 at 22:57
add a comment |
Draw a diagram and using that, find a formula for the distance NP in terms of the angle NOP.
– William Elliot
Nov 14 at 6:56
I'm having trouble with how to find the rate of change of NP. I have to find it's change with respect to time right? Even so how do i inculde the ω within the equations
– user182947
Nov 14 at 7:06
The velocity of N is radius × angular velocity measured in radians/sec.
– William Elliot
Nov 14 at 22:57
Draw a diagram and using that, find a formula for the distance NP in terms of the angle NOP.
– William Elliot
Nov 14 at 6:56
Draw a diagram and using that, find a formula for the distance NP in terms of the angle NOP.
– William Elliot
Nov 14 at 6:56
I'm having trouble with how to find the rate of change of NP. I have to find it's change with respect to time right? Even so how do i inculde the ω within the equations
– user182947
Nov 14 at 7:06
I'm having trouble with how to find the rate of change of NP. I have to find it's change with respect to time right? Even so how do i inculde the ω within the equations
– user182947
Nov 14 at 7:06
The velocity of N is radius × angular velocity measured in radians/sec.
– William Elliot
Nov 14 at 22:57
The velocity of N is radius × angular velocity measured in radians/sec.
– William Elliot
Nov 14 at 22:57
add a comment |
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Draw a diagram and using that, find a formula for the distance NP in terms of the angle NOP.
– William Elliot
Nov 14 at 6:56
I'm having trouble with how to find the rate of change of NP. I have to find it's change with respect to time right? Even so how do i inculde the ω within the equations
– user182947
Nov 14 at 7:06
The velocity of N is radius × angular velocity measured in radians/sec.
– William Elliot
Nov 14 at 22:57