Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard
  1. Home
  2. School
  3. A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m/s every second. What is the magnitude and direction of the net acceleration of
# School

A cyclist is riding with a speed of 27 km/h. As he approaches a circular turn on the road of radius 80 m, he applies brakes and reduces his speed at the constant rate of 0.50 m/s every second. What is the magnitude and direction of the net acceleration of the cyclist on the circular turn?

Answers (1)
D Deependra Verma

Speed of cycle =   27 Km/h  =  7.5 m/s

The situation is shown in figure :-  

                             Motion in plane , 20244

The centripetal acceleration is given by :

                                           a_c = fracv^2r

                                                   = frac(7.5)^280

                                                   = 0.7 m/s^2

And the tangential acceleration is given as  0.5 m/s^2.

So, the net acceleration becomes :

                                            a = sqrta_c^2 + a_T ^2

or                                               = sqrt(0.7)^2 + (0.5) ^2

or                                              = 0.86 m/s^2

Now for direction,   

                                          an Theta = fraca_ca_T

or                                                     = frac0.70.5

Thus,                                         Theta = 54.46^circ 

Similar Questions

Latest Asked Questions

Most Viewed Questions

Preparation Products

Knockout CUET (Physics, Chemistry and Mathematics)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout CUET (Physics, Chemistry and Biology)

Complete Study Material based on Class 12th Syllabus, 10000+ Question Bank, Unlimited Chapter-Wise and Subject-Wise Mock Tests, Study Improvement Plan.

₹ 7999/- ₹ 4999/-
Buy Now
Knockout JEE Main (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Knockout JEE Main (Nine Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 13999/- ₹ 12499/-
Buy Now
Knockout NEET (Six Month Subscription)

- AI Coach Study Modules, - Unlimited Mock Tests, - Expert Mentorship, - Study Improvement Plan.

₹ 9999/- ₹ 8499/-
Buy Now
Boost your Preparation for JEE Main with our Foundation Course
Start Now
 
Exams
Articles
Questions