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







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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
    2 days ago










  • 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
    2 days ago










  • The velocity of N is radius × angular velocity measured in radians/sec.
    – William Elliot
    yesterday















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







share|cite|improve this question







New contributor




user182947 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.




















  • Draw a diagram and using that, find a formula for the distance NP in terms of the angle NOP.
    – William Elliot
    2 days ago










  • 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
    2 days ago










  • The velocity of N is radius × angular velocity measured in radians/sec.
    – William Elliot
    yesterday













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







share|cite|improve this question







New contributor




user182947 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











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






share|cite|improve this question







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user182947 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.











share|cite|improve this question







New contributor




user182947 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.









share|cite|improve this question




share|cite|improve this question






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user182947 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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user182947 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.






user182947 is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.












  • Draw a diagram and using that, find a formula for the distance NP in terms of the angle NOP.
    – William Elliot
    2 days ago










  • 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
    2 days ago










  • The velocity of N is radius × angular velocity measured in radians/sec.
    – William Elliot
    yesterday


















  • Draw a diagram and using that, find a formula for the distance NP in terms of the angle NOP.
    – William Elliot
    2 days ago










  • 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
    2 days ago










  • The velocity of N is radius × angular velocity measured in radians/sec.
    – William Elliot
    yesterday
















Draw a diagram and using that, find a formula for the distance NP in terms of the angle NOP.
– William Elliot
2 days ago




Draw a diagram and using that, find a formula for the distance NP in terms of the angle NOP.
– William Elliot
2 days ago












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
2 days ago




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
2 days ago












The velocity of N is radius × angular velocity measured in radians/sec.
– William Elliot
yesterday




The velocity of N is radius × angular velocity measured in radians/sec.
– William Elliot
yesterday















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