Menu div.question,div.steps {font-size: 16px; padding: 10px;line-height: 20px; margin: 20px;} div.question{border: 1px solid #ccc;} div#solution .button{font-size: 20px; margin: 20px; width: 200px; padding: 10px; text-align: center;} div.hint,div.answer,div.steps{display: none;} div.pre_next{font-size: 30px; width:90%; margin:auto;} div.pre_next a.nav_pre{float:left;} div.pre_next a.nav_next{float:right;} div.title div.notes{ font-family:sans-serif, Arial; font-size: 18px; } div.speak{display:none;} i.speak{float: right;margin-top:-10px;cursor:pointer;} 7. Following graph is the chain gear system of a bicycle. The crank Rc = 20.0\ cm, R_1 = 10.0\ cm, R_2 = 5.00\ cm and R_w = 30.0 cm. If F_(i n) = 500\ N a) Find tension T on the chain? b) If the total mass of biker and bicycle is 100\ kg. What is the the acceleration of the bicycle?7. Following graph is the chain gear system of a bicycle. The crank Rc = 20.0\ cm, R_1 = 10.0\ cm, R_2 = 5.00\ cm and R_w = 30.0 cm. If F_(i n) = 500\ N a) Find tension T on the chain? b) If the total mass of biker and bicycle is 100\ kg. What is the the acceleration of the bicycle? Hint Wheel and axle: τ_(i n) = τ_(out) Answer a) T = 1000\ N b) a = 1.67 m//s^2 Show Steps Given: R_c = 20.0\ cm R_1 = 10.0\ cm R_2 = 5.00\ cm R_w = 30.0 cm F_(i n) = 500\ N Wheel and axle: τ_(i n) = τ_(out) Solution: a) τ_(i n) = τ_(out) => F_(i n) R_c = T R_1 T = F_(i n) R_c /R_1 T = ( 500\ N) (20.0\ cm) /(10.0\ cm) T = 1000\ N b) Given: M = 100 kg τ_(i n) = τ_(out) => TR_2 = F_(out)R_w F_(out) = T R_2/R_w F_(out) =(1000\ N)(5.00\ cm)/(30.0\ cm) F_(out) = 167\ N F_(out) = Ma a = F_(out)/M a = (167\ N) / (100 kg) a = 1.67 m//s^2